What is the Least Common Multiple of 54204 and 54221?

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 54204 and 54221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54204 and 54221, than apply into the LCM equation.

GCF(54204,54221) = 1
LCM(54204,54221) = ( 54204 × 54221) / 1
LCM(54204,54221) = 2938995084 / 1
LCM(54204,54221) = 2938995084

Least Common Multiple (LCM) of 54204 and 54221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54204 and 54221. First we will calculate the prime factors of 54204 and 54221.

Prime Factorization of 54204

Prime Factorization of 54221

Now multiplying the highest exponent prime factors to calculate the LCM of 54204 and 54221.

LCM(54204,54221) = 2² × 3¹ × 4517¹ × 59¹ × 919¹
LCM(54204,54221) = 2938995084