What is the Least Common Multiple of 54132 and 54147?

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 54132 and 54147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54132 and 54147, than apply into the LCM equation.

GCF(54132,54147) = 3
LCM(54132,54147) = ( 54132 × 54147) / 3
LCM(54132,54147) = 2931085404 / 3
LCM(54132,54147) = 977028468

Least Common Multiple (LCM) of 54132 and 54147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54132 and 54147. First we will calculate the prime factors of 54132 and 54147.

Prime Factorization of 54132

Prime Factorization of 54147

Now multiplying the highest exponent prime factors to calculate the LCM of 54132 and 54147.

LCM(54132,54147) = 2² × 3¹ × 13¹ × 347¹ × 18049¹
LCM(54132,54147) = 977028468