What is the Least Common Multiple of 18420 and 18435?

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 18420 and 18435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18420 and 18435, than apply into the LCM equation.

GCF(18420,18435) = 15
LCM(18420,18435) = ( 18420 × 18435) / 15
LCM(18420,18435) = 339572700 / 15
LCM(18420,18435) = 22638180

Least Common Multiple (LCM) of 18420 and 18435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18420 and 18435. First we will calculate the prime factors of 18420 and 18435.

Prime Factorization of 18420

Prime Factorization of 18435

Now multiplying the highest exponent prime factors to calculate the LCM of 18420 and 18435.

LCM(18420,18435) = 2² × 3¹ × 5¹ × 307¹ × 1229¹
LCM(18420,18435) = 22638180