What is the Least Common Multiple of 42165 and 42175?

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 42165 and 42175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42165 and 42175, than apply into the LCM equation.

GCF(42165,42175) = 5
LCM(42165,42175) = ( 42165 × 42175) / 5
LCM(42165,42175) = 1778308875 / 5
LCM(42165,42175) = 355661775

Least Common Multiple (LCM) of 42165 and 42175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42165 and 42175. First we will calculate the prime factors of 42165 and 42175.

Prime Factorization of 42165

Prime Factorization of 42175

Now multiplying the highest exponent prime factors to calculate the LCM of 42165 and 42175.

LCM(42165,42175) = 3² × 5² × 937¹ × 7¹ × 241¹
LCM(42165,42175) = 355661775