What is the Least Common Multiple of 44946 and 44957?

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 44946 and 44957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44946 and 44957, than apply into the LCM equation.

GCF(44946,44957) = 11
LCM(44946,44957) = ( 44946 × 44957) / 11
LCM(44946,44957) = 2020637322 / 11
LCM(44946,44957) = 183694302

Least Common Multiple (LCM) of 44946 and 44957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44946 and 44957. First we will calculate the prime factors of 44946 and 44957.

Prime Factorization of 44946

Prime Factorization of 44957

Now multiplying the highest exponent prime factors to calculate the LCM of 44946 and 44957.

LCM(44946,44957) = 2¹ × 3² × 11¹ × 227¹ × 61¹ × 67¹
LCM(44946,44957) = 183694302