What is the Least Common Multiple of 49926 and 49944?

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 49926 and 49944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49926 and 49944, than apply into the LCM equation.

GCF(49926,49944) = 6
LCM(49926,49944) = ( 49926 × 49944) / 6
LCM(49926,49944) = 2493504144 / 6
LCM(49926,49944) = 415584024

Least Common Multiple (LCM) of 49926 and 49944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49926 and 49944. First we will calculate the prime factors of 49926 and 49944.

Prime Factorization of 49926

Prime Factorization of 49944

Now multiplying the highest exponent prime factors to calculate the LCM of 49926 and 49944.

LCM(49926,49944) = 2³ × 3¹ × 53¹ × 157¹ × 2081¹
LCM(49926,49944) = 415584024