What is the Least Common Multiple of 55212 and 55221?

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 55212 and 55221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55212 and 55221, than apply into the LCM equation.

GCF(55212,55221) = 3
LCM(55212,55221) = ( 55212 × 55221) / 3
LCM(55212,55221) = 3048861852 / 3
LCM(55212,55221) = 1016287284

Least Common Multiple (LCM) of 55212 and 55221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55212 and 55221. First we will calculate the prime factors of 55212 and 55221.

Prime Factorization of 55212

Prime Factorization of 55221

Now multiplying the highest exponent prime factors to calculate the LCM of 55212 and 55221.

LCM(55212,55221) = 2² × 3¹ × 43¹ × 107¹ × 79¹ × 233¹
LCM(55212,55221) = 1016287284