What is the Least Common Multiple of 70375 and 70395?

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 70375 and 70395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70375 and 70395, than apply into the LCM equation.

GCF(70375,70395) = 5
LCM(70375,70395) = ( 70375 × 70395) / 5
LCM(70375,70395) = 4954048125 / 5
LCM(70375,70395) = 990809625

Least Common Multiple (LCM) of 70375 and 70395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70375 and 70395. First we will calculate the prime factors of 70375 and 70395.

Prime Factorization of 70375

Prime Factorization of 70395

Now multiplying the highest exponent prime factors to calculate the LCM of 70375 and 70395.

LCM(70375,70395) = 5³ × 563¹ × 3¹ × 13¹ × 19²
LCM(70375,70395) = 990809625