What is the Least Common Multiple of 18108 and 18128?

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 18108 and 18128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18108 and 18128, than apply into the LCM equation.

GCF(18108,18128) = 4
LCM(18108,18128) = ( 18108 × 18128) / 4
LCM(18108,18128) = 328261824 / 4
LCM(18108,18128) = 82065456

Least Common Multiple (LCM) of 18108 and 18128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18108 and 18128. First we will calculate the prime factors of 18108 and 18128.

Prime Factorization of 18108

Prime Factorization of 18128

Now multiplying the highest exponent prime factors to calculate the LCM of 18108 and 18128.

LCM(18108,18128) = 2⁴ × 3² × 503¹ × 11¹ × 103¹
LCM(18108,18128) = 82065456