What is the Least Common Multiple of 95378 and 95395?

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 95378 and 95395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95378 and 95395, than apply into the LCM equation.

GCF(95378,95395) = 1
LCM(95378,95395) = ( 95378 × 95395) / 1
LCM(95378,95395) = 9098584310 / 1
LCM(95378,95395) = 9098584310

Least Common Multiple (LCM) of 95378 and 95395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95378 and 95395. First we will calculate the prime factors of 95378 and 95395.

Prime Factorization of 95378

Prime Factorization of 95395

Now multiplying the highest exponent prime factors to calculate the LCM of 95378 and 95395.

LCM(95378,95395) = 2¹ × 103¹ × 463¹ × 5¹ × 19079¹
LCM(95378,95395) = 9098584310