What is the Least Common Multiple of 41314 and 41328?

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 41314 and 41328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41314 and 41328, than apply into the LCM equation.

GCF(41314,41328) = 14
LCM(41314,41328) = ( 41314 × 41328) / 14
LCM(41314,41328) = 1707424992 / 14
LCM(41314,41328) = 121958928

Least Common Multiple (LCM) of 41314 and 41328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41314 and 41328. First we will calculate the prime factors of 41314 and 41328.

Prime Factorization of 41314

Prime Factorization of 41328

Now multiplying the highest exponent prime factors to calculate the LCM of 41314 and 41328.

LCM(41314,41328) = 2⁴ × 7¹ × 13¹ × 227¹ × 3² × 41¹
LCM(41314,41328) = 121958928