What is the Least Common Multiple of 44973 and 44977?

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 44973 and 44977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44973 and 44977, than apply into the LCM equation.

GCF(44973,44977) = 1
LCM(44973,44977) = ( 44973 × 44977) / 1
LCM(44973,44977) = 2022750621 / 1
LCM(44973,44977) = 2022750621

Least Common Multiple (LCM) of 44973 and 44977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44973 and 44977. First we will calculate the prime factors of 44973 and 44977.

Prime Factorization of 44973

Prime Factorization of 44977

Now multiplying the highest exponent prime factors to calculate the LCM of 44973 and 44977.

LCM(44973,44977) = 3² × 19¹ × 263¹ × 41¹ × 1097¹
LCM(44973,44977) = 2022750621