What is the Least Common Multiple of 45915 and 45925?

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 45915 and 45925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45915 and 45925, than apply into the LCM equation.

GCF(45915,45925) = 5
LCM(45915,45925) = ( 45915 × 45925) / 5
LCM(45915,45925) = 2108646375 / 5
LCM(45915,45925) = 421729275

Least Common Multiple (LCM) of 45915 and 45925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45915 and 45925. First we will calculate the prime factors of 45915 and 45925.

Prime Factorization of 45915

Prime Factorization of 45925

Now multiplying the highest exponent prime factors to calculate the LCM of 45915 and 45925.

LCM(45915,45925) = 3¹ × 5² × 3061¹ × 11¹ × 167¹
LCM(45915,45925) = 421729275