What is the Least Common Multiple of 44506 and 44524?

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 44506 and 44524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44506 and 44524, than apply into the LCM equation.

GCF(44506,44524) = 2
LCM(44506,44524) = ( 44506 × 44524) / 2
LCM(44506,44524) = 1981585144 / 2
LCM(44506,44524) = 990792572

Least Common Multiple (LCM) of 44506 and 44524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44506 and 44524. First we will calculate the prime factors of 44506 and 44524.

Prime Factorization of 44506

Prime Factorization of 44524

Now multiplying the highest exponent prime factors to calculate the LCM of 44506 and 44524.

LCM(44506,44524) = 2² × 7¹ × 11¹ × 17² × 11131¹
LCM(44506,44524) = 990792572