What is the Least Common Multiple of 44614 and 44624?

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 44614 and 44624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44614 and 44624, than apply into the LCM equation.

GCF(44614,44624) = 2
LCM(44614,44624) = ( 44614 × 44624) / 2
LCM(44614,44624) = 1990855136 / 2
LCM(44614,44624) = 995427568

Least Common Multiple (LCM) of 44614 and 44624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44614 and 44624. First we will calculate the prime factors of 44614 and 44624.

Prime Factorization of 44614

Prime Factorization of 44624

Now multiplying the highest exponent prime factors to calculate the LCM of 44614 and 44624.

LCM(44614,44624) = 2⁴ × 22307¹ × 2789¹
LCM(44614,44624) = 995427568