What is the Least Common Multiple of 18465 and 18480?

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 18465 and 18480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18465 and 18480, than apply into the LCM equation.

GCF(18465,18480) = 15
LCM(18465,18480) = ( 18465 × 18480) / 15
LCM(18465,18480) = 341233200 / 15
LCM(18465,18480) = 22748880

Least Common Multiple (LCM) of 18465 and 18480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18465 and 18480. First we will calculate the prime factors of 18465 and 18480.

Prime Factorization of 18465

Prime Factorization of 18480

Now multiplying the highest exponent prime factors to calculate the LCM of 18465 and 18480.

LCM(18465,18480) = 3¹ × 5¹ × 1231¹ × 2⁴ × 7¹ × 11¹
LCM(18465,18480) = 22748880