What is the Least Common Multiple of 52212 and 52221?

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 52212 and 52221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52212 and 52221, than apply into the LCM equation.

GCF(52212,52221) = 3
LCM(52212,52221) = ( 52212 × 52221) / 3
LCM(52212,52221) = 2726562852 / 3
LCM(52212,52221) = 908854284

Least Common Multiple (LCM) of 52212 and 52221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52212 and 52221. First we will calculate the prime factors of 52212 and 52221.

Prime Factorization of 52212

Prime Factorization of 52221

Now multiplying the highest exponent prime factors to calculate the LCM of 52212 and 52221.

LCM(52212,52221) = 2² × 3¹ × 19¹ × 229¹ × 13² × 103¹
LCM(52212,52221) = 908854284