What is the Least Common Multiple of 32355 and 32375?

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 32355 and 32375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32355 and 32375, than apply into the LCM equation.

GCF(32355,32375) = 5
LCM(32355,32375) = ( 32355 × 32375) / 5
LCM(32355,32375) = 1047493125 / 5
LCM(32355,32375) = 209498625

Least Common Multiple (LCM) of 32355 and 32375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32355 and 32375. First we will calculate the prime factors of 32355 and 32375.

Prime Factorization of 32355

Prime Factorization of 32375

Now multiplying the highest exponent prime factors to calculate the LCM of 32355 and 32375.

LCM(32355,32375) = 3² × 5³ × 719¹ × 7¹ × 37¹
LCM(32355,32375) = 209498625