What is the Least Common Multiple of 32075 and 32095?

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 32075 and 32095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32075 and 32095, than apply into the LCM equation.

GCF(32075,32095) = 5
LCM(32075,32095) = ( 32075 × 32095) / 5
LCM(32075,32095) = 1029447125 / 5
LCM(32075,32095) = 205889425

Least Common Multiple (LCM) of 32075 and 32095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32075 and 32095. First we will calculate the prime factors of 32075 and 32095.

Prime Factorization of 32075

Prime Factorization of 32095

Now multiplying the highest exponent prime factors to calculate the LCM of 32075 and 32095.

LCM(32075,32095) = 5² × 1283¹ × 7² × 131¹
LCM(32075,32095) = 205889425