**What Is The Least Common Multiple Of 12 and 8:**

The least common multiple of 12 and 8 is 24. This is the smallest number that both 12 and 8 can be divided by without leaving a remainder. The other multiples of 12 and 8 are 36, 48, 60, 72, and 84. While there is no specific formula for finding the least common multiple, there are several methods that can be used to help find it.

One such method is to list all of the multiples of each number and then find the smallest number that is listed in both lists. Another method is to use a calculator or a division algorithm to find the smallest number that both numbers can be divided by evenly. Whichever method is used, the final result should always be 24.

**Some additional information:**

The lowest common multiple (LCM) is the smallest number that is divisible by all of the given numbers and is often used to find multiples or factors. The highest common factor (HCF), also known as the greatest common divisor, is the largest number that can divide two or more numbers with no remainder. Another term for HCF is gcd, short for “greatest common divisor”.

LCM and HCF can be different if one of the original numbers equals zero. For example, the LCM of 4 and 10 is 20, but their HCF equals 2 since they are both even integers.

**What is the least common multiple of 8 and 12:**

the least common multiple of 8 and 12 is the lowest number that can be divided into both 8 and 12 without leaving a remainder.

`” least common multiple “=” LCM “=” lcm = lowest factor for two integers `

(i) 2 times 6 is less than or equal to 12 :- `12\div2=6` –> No good

(ii) 2 times 7 is greater than or equal to 8 :- `8\div2=4` –> No good

**What is the least common multiple of 8 and 10:**

`” least common multiple “=” LCM “=” lcm = lowest factor for two integers `

(i) 2 times 5 is less than or equal to 10 :- `10\div2=5` –> No good

(ii) 2 times 6 is greater than or equal to 8 :- `8\div2=4` –> No good

**What is the least common multiple of 12 and 14:**

`” least common multiple “=” LCM “=” lcm = lowest factor for two integers `

(i) 2 times 7 is less than or equal to 14 :- `14\div2=7` –> No good

(ii) 2 times 8 is greater than or equal to 12 :- `12\div2=6` –> No good

**What is the least common multiple of 18 and 24:**

`” least common multiple “=” LCM “=” lcm = lowest factor for two integers `

(i) 3 times 6 is less than or equal to 24 : `24\div3=8` –> Yes! Good answer.

(e) 3 is a good answer for the least common multiple of 18 and 24.

what is the least common multiple of 30 and 36:-

`” least common multiple “=” LCM “=” lcm = lowest factor for two integers `

(i) 2 times 15 is less than or equal to 36 :- `36\div2=18` –> Yes! Good answer.

(e) 2 is a good answer for the least common multiple of 30 and 36.

So, the least common multiple of 8 and 12 is 6, the least common multiple of 10 and 12 is 5, the least common multiple of 12 and 14 is 7, and the least common multiple of 18 and 24 is