Answer: 150
Step-by-step explanation: To find the least common multiple or lcm of 50 and 75, begin by listing the first few multiples of each number.
Multiples of 50
1 × 50 = 50
2 × 50 = 100
3 × 50 = 150
Notice that we skipped 0 × 50 in our list of multiples. That's because 0 × 50 is 0 and our least common multiple can't be 0.
When listing the multiples of 75, it's a good idea to keep an eye on the list of multiples for 50 so that we'll notice when we find a least common multiple.
Multiples of 75
1 × 75 = 75 ← not a multiple of 50
2 × 75 = 150 ← is a multiple of 50
Notice that we can stop here because all other multiples that we find will be greater than 150.
This means that the least common of lcm of 50 and 75 is 150.