What is the Least Common Multiple of 44528 and 44546?

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 44528 and 44546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44528 and 44546, than apply into the LCM equation.

GCF(44528,44546) = 2
LCM(44528,44546) = ( 44528 × 44546) / 2
LCM(44528,44546) = 1983544288 / 2
LCM(44528,44546) = 991772144

Least Common Multiple (LCM) of 44528 and 44546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44528 and 44546. First we will calculate the prime factors of 44528 and 44546.

Prime Factorization of 44528

Prime Factorization of 44546

Now multiplying the highest exponent prime factors to calculate the LCM of 44528 and 44546.

LCM(44528,44546) = 2⁴ × 11² × 23¹ × 22273¹
LCM(44528,44546) = 991772144