What is the Least Common Multiple of 44657 and 44674?

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 44657 and 44674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44657 and 44674, than apply into the LCM equation.

GCF(44657,44674) = 1
LCM(44657,44674) = ( 44657 × 44674) / 1
LCM(44657,44674) = 1995006818 / 1
LCM(44657,44674) = 1995006818

Least Common Multiple (LCM) of 44657 and 44674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44657 and 44674. First we will calculate the prime factors of 44657 and 44674.

Prime Factorization of 44657

Prime Factorization of 44674

Now multiplying the highest exponent prime factors to calculate the LCM of 44657 and 44674.

LCM(44657,44674) = 44657¹ × 2¹ × 7¹ × 3191¹
LCM(44657,44674) = 1995006818