Match the two numbers with their least common multiple (lcm). match term definition b 6 and 4 a) 24 a 6 and 8 b) 12 c 6 and 10 c) 30

The LCM of 6 and 4 is 12.  The LCM of 6 and 8 is 24.  The LCM of 6 and 10 is 30.

To find the LCM, we find the prime factorization of each number.

6 = 2*3
4 = 2*2

They have a 2 in common, so this is one factor of the LCM.  We then take the uncommon factors, 3 and 2, giving us

2*3*2 = 12.

6 = 2*3
8 = 2*2*2

LCM = 2 (in common) * 3 * 2 * 2 (uncommon) = 24.

6 = 3*2
10 = 5*2

LCM = 2 (in common) * 3 * 5 (uncommon) = 30.