What is the Least Common Multiple of 99538 and 99556?

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 99538 and 99556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99538 and 99556, than apply into the LCM equation.

GCF(99538,99556) = 2
LCM(99538,99556) = ( 99538 × 99556) / 2
LCM(99538,99556) = 9909605128 / 2
LCM(99538,99556) = 4954802564

Least Common Multiple (LCM) of 99538 and 99556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99538 and 99556. First we will calculate the prime factors of 99538 and 99556.

Prime Factorization of 99538

Prime Factorization of 99556

Now multiplying the highest exponent prime factors to calculate the LCM of 99538 and 99556.

LCM(99538,99556) = 2² × 157¹ × 317¹ × 24889¹
LCM(99538,99556) = 4954802564