What is the Least Common Multiple of 44596 and 44616?

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 44596 and 44616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44596 and 44616, than apply into the LCM equation.

GCF(44596,44616) = 4
LCM(44596,44616) = ( 44596 × 44616) / 4
LCM(44596,44616) = 1989695136 / 4
LCM(44596,44616) = 497423784

Least Common Multiple (LCM) of 44596 and 44616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44596 and 44616. First we will calculate the prime factors of 44596 and 44616.

Prime Factorization of 44596

Prime Factorization of 44616

Now multiplying the highest exponent prime factors to calculate the LCM of 44596 and 44616.

LCM(44596,44616) = 2³ × 11149¹ × 3¹ × 11¹ × 13²
LCM(44596,44616) = 497423784