What is the Least Common Multiple of 44586 and 44600?

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 44586 and 44600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44586 and 44600, than apply into the LCM equation.

GCF(44586,44600) = 2
LCM(44586,44600) = ( 44586 × 44600) / 2
LCM(44586,44600) = 1988535600 / 2
LCM(44586,44600) = 994267800

Least Common Multiple (LCM) of 44586 and 44600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44586 and 44600. First we will calculate the prime factors of 44586 and 44600.

Prime Factorization of 44586

Prime Factorization of 44600

Now multiplying the highest exponent prime factors to calculate the LCM of 44586 and 44600.

LCM(44586,44600) = 2³ × 3² × 2477¹ × 5² × 223¹
LCM(44586,44600) = 994267800