What is the Least Common Multiple of 54102 and 54118?

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 54102 and 54118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54102 and 54118, than apply into the LCM equation.

GCF(54102,54118) = 2
LCM(54102,54118) = ( 54102 × 54118) / 2
LCM(54102,54118) = 2927892036 / 2
LCM(54102,54118) = 1463946018

Least Common Multiple (LCM) of 54102 and 54118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54102 and 54118. First we will calculate the prime factors of 54102 and 54118.

Prime Factorization of 54102

Prime Factorization of 54118

Now multiplying the highest exponent prime factors to calculate the LCM of 54102 and 54118.

LCM(54102,54118) = 2¹ × 3¹ × 71¹ × 127¹ × 27059¹
LCM(54102,54118) = 1463946018