What is the Least Common Multiple of 18984 and 18996?

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 18984 and 18996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18984 and 18996, than apply into the LCM equation.

GCF(18984,18996) = 12
LCM(18984,18996) = ( 18984 × 18996) / 12
LCM(18984,18996) = 360620064 / 12
LCM(18984,18996) = 30051672

Least Common Multiple (LCM) of 18984 and 18996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18984 and 18996. First we will calculate the prime factors of 18984 and 18996.

Prime Factorization of 18984

Prime Factorization of 18996

Now multiplying the highest exponent prime factors to calculate the LCM of 18984 and 18996.

LCM(18984,18996) = 2³ × 3¹ × 7¹ × 113¹ × 1583¹
LCM(18984,18996) = 30051672