What is the Least Common Multiple of 18480 and 18495?

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 18480 and 18495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18480 and 18495, than apply into the LCM equation.

GCF(18480,18495) = 15
LCM(18480,18495) = ( 18480 × 18495) / 15
LCM(18480,18495) = 341787600 / 15
LCM(18480,18495) = 22785840

Least Common Multiple (LCM) of 18480 and 18495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18480 and 18495. First we will calculate the prime factors of 18480 and 18495.

Prime Factorization of 18480

Prime Factorization of 18495

Now multiplying the highest exponent prime factors to calculate the LCM of 18480 and 18495.

LCM(18480,18495) = 2⁴ × 3³ × 5¹ × 7¹ × 11¹ × 137¹
LCM(18480,18495) = 22785840