What is the Least Common Multiple of 19944 and 19957?

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 19957 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 19957, than apply into the LCM equation.

GCF(19944,19957) = 1
LCM(19944,19957) = ( 19944 × 19957) / 1
LCM(19944,19957) = 398022408 / 1
LCM(19944,19957) = 398022408

Least Common Multiple (LCM) of 19944 and 19957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19944 and 19957. First we will calculate the prime factors of 19944 and 19957.

Prime Factorization of 19944

Prime Factorization of 19957

Now multiplying the highest exponent prime factors to calculate the LCM of 19944 and 19957.

LCM(19944,19957) = 2³ × 3² × 277¹ × 7¹ × 2851¹
LCM(19944,19957) = 398022408