What is the Least Common Multiple of 56475 and 56495?

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 56475 and 56495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56475 and 56495, than apply into the LCM equation.

GCF(56475,56495) = 5
LCM(56475,56495) = ( 56475 × 56495) / 5
LCM(56475,56495) = 3190555125 / 5
LCM(56475,56495) = 638111025

Least Common Multiple (LCM) of 56475 and 56495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56475 and 56495. First we will calculate the prime factors of 56475 and 56495.

Prime Factorization of 56475

Prime Factorization of 56495

Now multiplying the highest exponent prime factors to calculate the LCM of 56475 and 56495.

LCM(56475,56495) = 3² × 5² × 251¹ × 11299¹
LCM(56475,56495) = 638111025