What is the Least Common Multiple of 59148 and 59165?

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 59148 and 59165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59148 and 59165, than apply into the LCM equation.

GCF(59148,59165) = 1
LCM(59148,59165) = ( 59148 × 59165) / 1
LCM(59148,59165) = 3499491420 / 1
LCM(59148,59165) = 3499491420

Least Common Multiple (LCM) of 59148 and 59165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59148 and 59165. First we will calculate the prime factors of 59148 and 59165.

Prime Factorization of 59148

Prime Factorization of 59165

Now multiplying the highest exponent prime factors to calculate the LCM of 59148 and 59165.

LCM(59148,59165) = 2² × 3² × 31¹ × 53¹ × 5¹ × 11833¹
LCM(59148,59165) = 3499491420