What is the Least Common Multiple of 18420 and 18432?

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 18432 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 18432, than apply into the LCM equation.

GCF(18420,18432) = 12
LCM(18420,18432) = ( 18420 × 18432) / 12
LCM(18420,18432) = 339517440 / 12
LCM(18420,18432) = 28293120

Least Common Multiple (LCM) of 18420 and 18432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18420 and 18432. First we will calculate the prime factors of 18420 and 18432.

Prime Factorization of 18420

Prime Factorization of 18432

Now multiplying the highest exponent prime factors to calculate the LCM of 18420 and 18432.

LCM(18420,18432) = 2¹¹ × 3² × 5¹ × 307¹
LCM(18420,18432) = 28293120