150 would be the least common multiple because it is the smallest divisible number of 50 and 75.
Answer:
150
Step-by-step explanation:
The least common multiple is a number that the two given numbers are factors of, this number is the number closest to zero that satisfies this requirement.
The least common multiple can be found by prime factorizing the two numbers. Multiply the smaller number the prime factors of the larger number that it does not share in common with the larger number. Prime factorization is the process of writing out a number by its factors that are prime.
[tex]50 = 2*5^2\\\\75=3*5^2[/tex]
[tex]LCM=2*3*5^2\\\\LCM=150[/tex]
