What is the Least Common Multiple of 36375 and 36395?

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 36375 and 36395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36375 and 36395, than apply into the LCM equation.

GCF(36375,36395) = 5
LCM(36375,36395) = ( 36375 × 36395) / 5
LCM(36375,36395) = 1323868125 / 5
LCM(36375,36395) = 264773625

Least Common Multiple (LCM) of 36375 and 36395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36375 and 36395. First we will calculate the prime factors of 36375 and 36395.

Prime Factorization of 36375

Prime Factorization of 36395

Now multiplying the highest exponent prime factors to calculate the LCM of 36375 and 36395.

LCM(36375,36395) = 3¹ × 5³ × 97¹ × 29¹ × 251¹
LCM(36375,36395) = 264773625