What is the Least Common Multiple of 49944 and 49956?

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 49944 and 49956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49944 and 49956, than apply into the LCM equation.

GCF(49944,49956) = 12
LCM(49944,49956) = ( 49944 × 49956) / 12
LCM(49944,49956) = 2495002464 / 12
LCM(49944,49956) = 207916872

Least Common Multiple (LCM) of 49944 and 49956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49944 and 49956. First we will calculate the prime factors of 49944 and 49956.

Prime Factorization of 49944

Prime Factorization of 49956

Now multiplying the highest exponent prime factors to calculate the LCM of 49944 and 49956.

LCM(49944,49956) = 2³ × 3¹ × 2081¹ × 23¹ × 181¹
LCM(49944,49956) = 207916872