What is the Least Common Multiple of 49944 and 49954?

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 49954 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 49954, than apply into the LCM equation.

GCF(49944,49954) = 2
LCM(49944,49954) = ( 49944 × 49954) / 2
LCM(49944,49954) = 2494902576 / 2
LCM(49944,49954) = 1247451288

Least Common Multiple (LCM) of 49944 and 49954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49944 and 49954. First we will calculate the prime factors of 49944 and 49954.

Prime Factorization of 49944

Prime Factorization of 49954

Now multiplying the highest exponent prime factors to calculate the LCM of 49944 and 49954.

LCM(49944,49954) = 2³ × 3¹ × 2081¹ × 24977¹
LCM(49944,49954) = 1247451288