What is the Least Common Multiple of 44584 and 44588?

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 44584 and 44588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44584 and 44588, than apply into the LCM equation.

GCF(44584,44588) = 4
LCM(44584,44588) = ( 44584 × 44588) / 4
LCM(44584,44588) = 1987911392 / 4
LCM(44584,44588) = 496977848

Least Common Multiple (LCM) of 44584 and 44588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44584 and 44588. First we will calculate the prime factors of 44584 and 44588.

Prime Factorization of 44584

Prime Factorization of 44588

Now multiplying the highest exponent prime factors to calculate the LCM of 44584 and 44588.

LCM(44584,44588) = 2³ × 5573¹ × 71¹ × 157¹
LCM(44584,44588) = 496977848