What is the Least Common Multiple of 55200 and 55215?

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 55200 and 55215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55200 and 55215, than apply into the LCM equation.

GCF(55200,55215) = 15
LCM(55200,55215) = ( 55200 × 55215) / 15
LCM(55200,55215) = 3047868000 / 15
LCM(55200,55215) = 203191200

Least Common Multiple (LCM) of 55200 and 55215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55200 and 55215. First we will calculate the prime factors of 55200 and 55215.

Prime Factorization of 55200

Prime Factorization of 55215

Now multiplying the highest exponent prime factors to calculate the LCM of 55200 and 55215.

LCM(55200,55215) = 2⁵ × 3³ × 5² × 23¹ × 409¹
LCM(55200,55215) = 203191200