What is the Least Common Multiple of 49944 and 49950?

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 49950 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 49950, than apply into the LCM equation.

GCF(49944,49950) = 6
LCM(49944,49950) = ( 49944 × 49950) / 6
LCM(49944,49950) = 2494702800 / 6
LCM(49944,49950) = 415783800

Least Common Multiple (LCM) of 49944 and 49950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49944 and 49950. First we will calculate the prime factors of 49944 and 49950.

Prime Factorization of 49944

Prime Factorization of 49950

Now multiplying the highest exponent prime factors to calculate the LCM of 49944 and 49950.

LCM(49944,49950) = 2³ × 3³ × 2081¹ × 5² × 37¹
LCM(49944,49950) = 415783800