What is the Least Common Multiple of 32875 and 32885?

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 32875 and 32885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32875 and 32885, than apply into the LCM equation.

GCF(32875,32885) = 5
LCM(32875,32885) = ( 32875 × 32885) / 5
LCM(32875,32885) = 1081094375 / 5
LCM(32875,32885) = 216218875

Least Common Multiple (LCM) of 32875 and 32885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32875 and 32885. First we will calculate the prime factors of 32875 and 32885.

Prime Factorization of 32875

Prime Factorization of 32885

Now multiplying the highest exponent prime factors to calculate the LCM of 32875 and 32885.

LCM(32875,32885) = 5³ × 263¹ × 6577¹
LCM(32875,32885) = 216218875