What is the Least Common Multiple of 44735 and 44740?

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 44735 and 44740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44735 and 44740, than apply into the LCM equation.

GCF(44735,44740) = 5
LCM(44735,44740) = ( 44735 × 44740) / 5
LCM(44735,44740) = 2001443900 / 5
LCM(44735,44740) = 400288780

Least Common Multiple (LCM) of 44735 and 44740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44735 and 44740. First we will calculate the prime factors of 44735 and 44740.

Prime Factorization of 44735

Prime Factorization of 44740

Now multiplying the highest exponent prime factors to calculate the LCM of 44735 and 44740.

LCM(44735,44740) = 5¹ × 23¹ × 389¹ × 2² × 2237¹
LCM(44735,44740) = 400288780