What is the Least Common Multiple of 18456 and 18465?

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 18456 and 18465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18456 and 18465, than apply into the LCM equation.

GCF(18456,18465) = 3
LCM(18456,18465) = ( 18456 × 18465) / 3
LCM(18456,18465) = 340790040 / 3
LCM(18456,18465) = 113596680

Least Common Multiple (LCM) of 18456 and 18465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18456 and 18465. First we will calculate the prime factors of 18456 and 18465.

Prime Factorization of 18456

Prime Factorization of 18465

Now multiplying the highest exponent prime factors to calculate the LCM of 18456 and 18465.

LCM(18456,18465) = 2³ × 3¹ × 769¹ × 5¹ × 1231¹
LCM(18456,18465) = 113596680