What is the Least Common Multiple of 99072 and 99078?

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 99072 and 99078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99072 and 99078, than apply into the LCM equation.

GCF(99072,99078) = 6
LCM(99072,99078) = ( 99072 × 99078) / 6
LCM(99072,99078) = 9815855616 / 6
LCM(99072,99078) = 1635975936

Least Common Multiple (LCM) of 99072 and 99078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99072 and 99078. First we will calculate the prime factors of 99072 and 99078.

Prime Factorization of 99072

Prime Factorization of 99078

Now multiplying the highest exponent prime factors to calculate the LCM of 99072 and 99078.

LCM(99072,99078) = 2⁸ × 3² × 43¹ × 7² × 337¹
LCM(99072,99078) = 1635975936