What is the Least Common Multiple of 99078 and 99084?

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 99078 and 99084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99078 and 99084, than apply into the LCM equation.

GCF(99078,99084) = 6
LCM(99078,99084) = ( 99078 × 99084) / 6
LCM(99078,99084) = 9817044552 / 6
LCM(99078,99084) = 1636174092

Least Common Multiple (LCM) of 99078 and 99084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99078 and 99084. First we will calculate the prime factors of 99078 and 99084.

Prime Factorization of 99078

Prime Factorization of 99084

Now multiplying the highest exponent prime factors to calculate the LCM of 99078 and 99084.

LCM(99078,99084) = 2² × 3¹ × 7² × 337¹ × 23¹ × 359¹
LCM(99078,99084) = 1636174092