What is the Least Common Multiple of 72165 and 72175?

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 72165 and 72175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72165 and 72175, than apply into the LCM equation.

GCF(72165,72175) = 5
LCM(72165,72175) = ( 72165 × 72175) / 5
LCM(72165,72175) = 5208508875 / 5
LCM(72165,72175) = 1041701775

Least Common Multiple (LCM) of 72165 and 72175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72165 and 72175. First we will calculate the prime factors of 72165 and 72175.

Prime Factorization of 72165

Prime Factorization of 72175

Now multiplying the highest exponent prime factors to calculate the LCM of 72165 and 72175.

LCM(72165,72175) = 3¹ × 5² × 17¹ × 283¹ × 2887¹
LCM(72165,72175) = 1041701775