What is the Least Common Multiple of 41295 and 41304?

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 41295 and 41304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41295 and 41304, than apply into the LCM equation.

GCF(41295,41304) = 3
LCM(41295,41304) = ( 41295 × 41304) / 3
LCM(41295,41304) = 1705648680 / 3
LCM(41295,41304) = 568549560

Least Common Multiple (LCM) of 41295 and 41304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41295 and 41304. First we will calculate the prime factors of 41295 and 41304.

Prime Factorization of 41295

Prime Factorization of 41304

Now multiplying the highest exponent prime factors to calculate the LCM of 41295 and 41304.

LCM(41295,41304) = 3¹ × 5¹ × 2753¹ × 2³ × 1721¹
LCM(41295,41304) = 568549560