What is the Least Common Multiple of 44580 and 44596?

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 44580 and 44596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44580 and 44596, than apply into the LCM equation.

GCF(44580,44596) = 4
LCM(44580,44596) = ( 44580 × 44596) / 4
LCM(44580,44596) = 1988089680 / 4
LCM(44580,44596) = 497022420

Least Common Multiple (LCM) of 44580 and 44596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44580 and 44596. First we will calculate the prime factors of 44580 and 44596.

Prime Factorization of 44580

Prime Factorization of 44596

Now multiplying the highest exponent prime factors to calculate the LCM of 44580 and 44596.

LCM(44580,44596) = 2² × 3¹ × 5¹ × 743¹ × 11149¹
LCM(44580,44596) = 497022420