What is the Least Common Multiple of 45925 and 45944?

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 45925 and 45944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45925 and 45944, than apply into the LCM equation.

GCF(45925,45944) = 1
LCM(45925,45944) = ( 45925 × 45944) / 1
LCM(45925,45944) = 2109978200 / 1
LCM(45925,45944) = 2109978200

Least Common Multiple (LCM) of 45925 and 45944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45925 and 45944. First we will calculate the prime factors of 45925 and 45944.

Prime Factorization of 45925

Prime Factorization of 45944

Now multiplying the highest exponent prime factors to calculate the LCM of 45925 and 45944.

LCM(45925,45944) = 5² × 11¹ × 167¹ × 2³ × 5743¹
LCM(45925,45944) = 2109978200