What is the Least Common Multiple of 44508 and 44521?

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 44508 and 44521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44508 and 44521, than apply into the LCM equation.

GCF(44508,44521) = 1
LCM(44508,44521) = ( 44508 × 44521) / 1
LCM(44508,44521) = 1981540668 / 1
LCM(44508,44521) = 1981540668

Least Common Multiple (LCM) of 44508 and 44521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44508 and 44521. First we will calculate the prime factors of 44508 and 44521.

Prime Factorization of 44508

Prime Factorization of 44521

Now multiplying the highest exponent prime factors to calculate the LCM of 44508 and 44521.

LCM(44508,44521) = 2² × 3¹ × 3709¹ × 211²
LCM(44508,44521) = 1981540668