What is the Least Common Multiple of 54108 and 54127?

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 54108 and 54127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54108 and 54127, than apply into the LCM equation.

GCF(54108,54127) = 1
LCM(54108,54127) = ( 54108 × 54127) / 1
LCM(54108,54127) = 2928703716 / 1
LCM(54108,54127) = 2928703716

Least Common Multiple (LCM) of 54108 and 54127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54108 and 54127. First we will calculate the prime factors of 54108 and 54127.

Prime Factorization of 54108

Prime Factorization of 54127

Now multiplying the highest exponent prime factors to calculate the LCM of 54108 and 54127.

LCM(54108,54127) = 2² × 3⁴ × 167¹ × 113¹ × 479¹
LCM(54108,54127) = 2928703716