What is the Least Common Multiple of 44524 and 44538?

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 44524 and 44538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44524 and 44538, than apply into the LCM equation.

GCF(44524,44538) = 2
LCM(44524,44538) = ( 44524 × 44538) / 2
LCM(44524,44538) = 1983009912 / 2
LCM(44524,44538) = 991504956

Least Common Multiple (LCM) of 44524 and 44538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44524 and 44538. First we will calculate the prime factors of 44524 and 44538.

Prime Factorization of 44524

Prime Factorization of 44538

Now multiplying the highest exponent prime factors to calculate the LCM of 44524 and 44538.

LCM(44524,44538) = 2² × 11131¹ × 3¹ × 13¹ × 571¹
LCM(44524,44538) = 991504956