What is the Least Common Multiple of 18464 and 18472?

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 18464 and 18472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18464 and 18472, than apply into the LCM equation.

GCF(18464,18472) = 8
LCM(18464,18472) = ( 18464 × 18472) / 8
LCM(18464,18472) = 341067008 / 8
LCM(18464,18472) = 42633376

Least Common Multiple (LCM) of 18464 and 18472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18464 and 18472. First we will calculate the prime factors of 18464 and 18472.

Prime Factorization of 18464

Prime Factorization of 18472

Now multiplying the highest exponent prime factors to calculate the LCM of 18464 and 18472.

LCM(18464,18472) = 2⁵ × 577¹ × 2309¹
LCM(18464,18472) = 42633376