What is the Least Common Multiple of 19944 and 19953?

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 19944 and 19953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19944 and 19953, than apply into the LCM equation.

GCF(19944,19953) = 9
LCM(19944,19953) = ( 19944 × 19953) / 9
LCM(19944,19953) = 397942632 / 9
LCM(19944,19953) = 44215848

Least Common Multiple (LCM) of 19944 and 19953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19944 and 19953. First we will calculate the prime factors of 19944 and 19953.

Prime Factorization of 19944

Prime Factorization of 19953

Now multiplying the highest exponent prime factors to calculate the LCM of 19944 and 19953.

LCM(19944,19953) = 2³ × 3³ × 277¹ × 739¹
LCM(19944,19953) = 44215848