What is the Least Common Multiple of 44509 and 44525?

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 44509 and 44525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44509 and 44525, than apply into the LCM equation.

GCF(44509,44525) = 1
LCM(44509,44525) = ( 44509 × 44525) / 1
LCM(44509,44525) = 1981763225 / 1
LCM(44509,44525) = 1981763225

Least Common Multiple (LCM) of 44509 and 44525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44509 and 44525. First we will calculate the prime factors of 44509 and 44525.

Prime Factorization of 44509

Prime Factorization of 44525

Now multiplying the highest exponent prime factors to calculate the LCM of 44509 and 44525.

LCM(44509,44525) = 47¹ × 947¹ × 5² × 13¹ × 137¹
LCM(44509,44525) = 1981763225