What is the Least Common Multiple of 42475 and 42485?

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 42475 and 42485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42475 and 42485, than apply into the LCM equation.

GCF(42475,42485) = 5
LCM(42475,42485) = ( 42475 × 42485) / 5
LCM(42475,42485) = 1804550375 / 5
LCM(42475,42485) = 360910075

Least Common Multiple (LCM) of 42475 and 42485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42475 and 42485. First we will calculate the prime factors of 42475 and 42485.

Prime Factorization of 42475

Prime Factorization of 42485

Now multiplying the highest exponent prime factors to calculate the LCM of 42475 and 42485.

LCM(42475,42485) = 5² × 1699¹ × 29¹ × 293¹
LCM(42475,42485) = 360910075