What is the Least Common Multiple of 44525 and 44540?

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 44525 and 44540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44525 and 44540, than apply into the LCM equation.

GCF(44525,44540) = 5
LCM(44525,44540) = ( 44525 × 44540) / 5
LCM(44525,44540) = 1983143500 / 5
LCM(44525,44540) = 396628700

Least Common Multiple (LCM) of 44525 and 44540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44525 and 44540. First we will calculate the prime factors of 44525 and 44540.

Prime Factorization of 44525

Prime Factorization of 44540

Now multiplying the highest exponent prime factors to calculate the LCM of 44525 and 44540.

LCM(44525,44540) = 5² × 13¹ × 137¹ × 2² × 17¹ × 131¹
LCM(44525,44540) = 396628700