What is the Least Common Multiple of 54108 and 54128?

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 54128 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 54128, than apply into the LCM equation.

GCF(54108,54128) = 4
LCM(54108,54128) = ( 54108 × 54128) / 4
LCM(54108,54128) = 2928757824 / 4
LCM(54108,54128) = 732189456

Least Common Multiple (LCM) of 54108 and 54128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54108 and 54128. First we will calculate the prime factors of 54108 and 54128.

Prime Factorization of 54108

Prime Factorization of 54128

Now multiplying the highest exponent prime factors to calculate the LCM of 54108 and 54128.

LCM(54108,54128) = 2⁴ × 3⁴ × 167¹ × 17¹ × 199¹
LCM(54108,54128) = 732189456