What is the Least Common Multiple of 44598 and 44614?

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 44598 and 44614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44598 and 44614, than apply into the LCM equation.

GCF(44598,44614) = 2
LCM(44598,44614) = ( 44598 × 44614) / 2
LCM(44598,44614) = 1989695172 / 2
LCM(44598,44614) = 994847586

Least Common Multiple (LCM) of 44598 and 44614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44598 and 44614. First we will calculate the prime factors of 44598 and 44614.

Prime Factorization of 44598

Prime Factorization of 44614

Now multiplying the highest exponent prime factors to calculate the LCM of 44598 and 44614.

LCM(44598,44614) = 2¹ × 3¹ × 7433¹ × 22307¹
LCM(44598,44614) = 994847586