What is the Least Common Multiple of 36357 and 36375?

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 36357 and 36375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36357 and 36375, than apply into the LCM equation.

GCF(36357,36375) = 3
LCM(36357,36375) = ( 36357 × 36375) / 3
LCM(36357,36375) = 1322485875 / 3
LCM(36357,36375) = 440828625

Least Common Multiple (LCM) of 36357 and 36375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36357 and 36375. First we will calculate the prime factors of 36357 and 36375.

Prime Factorization of 36357

Prime Factorization of 36375

Now multiplying the highest exponent prime factors to calculate the LCM of 36357 and 36375.

LCM(36357,36375) = 3¹ × 12119¹ × 5³ × 97¹
LCM(36357,36375) = 440828625