What is the Least Common Multiple of 44675 and 44684?

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 44675 and 44684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44675 and 44684, than apply into the LCM equation.

GCF(44675,44684) = 1
LCM(44675,44684) = ( 44675 × 44684) / 1
LCM(44675,44684) = 1996257700 / 1
LCM(44675,44684) = 1996257700

Least Common Multiple (LCM) of 44675 and 44684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44675 and 44684. First we will calculate the prime factors of 44675 and 44684.

Prime Factorization of 44675

Prime Factorization of 44684

Now multiplying the highest exponent prime factors to calculate the LCM of 44675 and 44684.

LCM(44675,44684) = 5² × 1787¹ × 2² × 11171¹
LCM(44675,44684) = 1996257700