What is the Least Common Multiple of 54204 and 54208?

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 54208 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 54208, than apply into the LCM equation.

GCF(54204,54208) = 4
LCM(54204,54208) = ( 54204 × 54208) / 4
LCM(54204,54208) = 2938290432 / 4
LCM(54204,54208) = 734572608

Least Common Multiple (LCM) of 54204 and 54208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54204 and 54208. First we will calculate the prime factors of 54204 and 54208.

Prime Factorization of 54204

Prime Factorization of 54208

Now multiplying the highest exponent prime factors to calculate the LCM of 54204 and 54208.

LCM(54204,54208) = 2⁶ × 3¹ × 4517¹ × 7¹ × 11²
LCM(54204,54208) = 734572608