What is the Least Common Multiple of 54204 and 54213?

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 54213 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 54213, than apply into the LCM equation.

GCF(54204,54213) = 3
LCM(54204,54213) = ( 54204 × 54213) / 3
LCM(54204,54213) = 2938561452 / 3
LCM(54204,54213) = 979520484

Least Common Multiple (LCM) of 54204 and 54213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54204 and 54213. First we will calculate the prime factors of 54204 and 54213.

Prime Factorization of 54204

Prime Factorization of 54213

Now multiplying the highest exponent prime factors to calculate the LCM of 54204 and 54213.

LCM(54204,54213) = 2² × 3¹ × 4517¹ × 17¹ × 1063¹
LCM(54204,54213) = 979520484