What is the Least Common Multiple of 99952 and 99972?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99952 and 99972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99952 and 99972, than apply into the LCM equation.

GCF(99952,99972) = 4
LCM(99952,99972) = ( 99952 × 99972) / 4
LCM(99952,99972) = 9992401344 / 4
LCM(99952,99972) = 2498100336

Least Common Multiple (LCM) of 99952 and 99972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99952 and 99972. First we will calculate the prime factors of 99952 and 99972.

Prime Factorization of 99952

Prime Factorization of 99972

Now multiplying the highest exponent prime factors to calculate the LCM of 99952 and 99972.

LCM(99952,99972) = 2⁴ × 6247¹ × 3² × 2777¹
LCM(99952,99972) = 2498100336