What is the Least Common Multiple of 72165 and 72185?

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 72185 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 72185, than apply into the LCM equation.

GCF(72165,72185) = 5
LCM(72165,72185) = ( 72165 × 72185) / 5
LCM(72165,72185) = 5209230525 / 5
LCM(72165,72185) = 1041846105

Least Common Multiple (LCM) of 72165 and 72185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72165 and 72185. First we will calculate the prime factors of 72165 and 72185.

Prime Factorization of 72165

Prime Factorization of 72185

Now multiplying the highest exponent prime factors to calculate the LCM of 72165 and 72185.

LCM(72165,72185) = 3¹ × 5¹ × 17¹ × 283¹ × 14437¹
LCM(72165,72185) = 1041846105