What is the Least Common Multiple of 54198 and 54204?

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 54198 and 54204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54198 and 54204, than apply into the LCM equation.

GCF(54198,54204) = 6
LCM(54198,54204) = ( 54198 × 54204) / 6
LCM(54198,54204) = 2937748392 / 6
LCM(54198,54204) = 489624732

Least Common Multiple (LCM) of 54198 and 54204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54198 and 54204. First we will calculate the prime factors of 54198 and 54204.

Prime Factorization of 54198

Prime Factorization of 54204

Now multiplying the highest exponent prime factors to calculate the LCM of 54198 and 54204.

LCM(54198,54204) = 2² × 3² × 3011¹ × 4517¹
LCM(54198,54204) = 489624732