What is the lcm for 10 and 12?

The LCM (Least Common Multiple) of 10 and 12 is the smallest positive integer that is divisible by both 10 and 12 without leaving any remainder.

To find the LCM of two numbers, you can use various methods. One common approach is to list the multiples of each number and find the smallest common multiple.

For 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...

For 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, ...

You can see that the smallest common multiple of 10 and 12 is 60. Therefore, the LCM of 10 and 12 is 60.

Another method to find the LCM is by using prime factorization.

Prime factorization of 10: 10 = 2 × 5 Prime factorization of 12: 12 = 2² × 3

Taking the highest power of each prime factor, we have:

LCM = 2² × 3 × 5 = 60

Hence, the LCM of 10 and 12 is 60.