What is the Least Common Multiple of 99524 and 99538?

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 99524 and 99538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99524 and 99538, than apply into the LCM equation.

GCF(99524,99538) = 2
LCM(99524,99538) = ( 99524 × 99538) / 2
LCM(99524,99538) = 9906419912 / 2
LCM(99524,99538) = 4953209956

Least Common Multiple (LCM) of 99524 and 99538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99524 and 99538. First we will calculate the prime factors of 99524 and 99538.

Prime Factorization of 99524

Prime Factorization of 99538

Now multiplying the highest exponent prime factors to calculate the LCM of 99524 and 99538.

LCM(99524,99538) = 2² × 139¹ × 179¹ × 157¹ × 317¹
LCM(99524,99538) = 4953209956