What is the Least Common Multiple of 54156 and 54171?

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 54156 and 54171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54156 and 54171, than apply into the LCM equation.

GCF(54156,54171) = 3
LCM(54156,54171) = ( 54156 × 54171) / 3
LCM(54156,54171) = 2933684676 / 3
LCM(54156,54171) = 977894892

Least Common Multiple (LCM) of 54156 and 54171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54156 and 54171. First we will calculate the prime factors of 54156 and 54171.

Prime Factorization of 54156

Prime Factorization of 54171

Now multiplying the highest exponent prime factors to calculate the LCM of 54156 and 54171.

LCM(54156,54171) = 2² × 3² × 4513¹ × 13¹ × 463¹
LCM(54156,54171) = 977894892