What is the Least Common Multiple of 41392 and 41404?

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 41392 and 41404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41392 and 41404, than apply into the LCM equation.

GCF(41392,41404) = 4
LCM(41392,41404) = ( 41392 × 41404) / 4
LCM(41392,41404) = 1713794368 / 4
LCM(41392,41404) = 428448592

Least Common Multiple (LCM) of 41392 and 41404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41392 and 41404. First we will calculate the prime factors of 41392 and 41404.

Prime Factorization of 41392

Prime Factorization of 41404

Now multiplying the highest exponent prime factors to calculate the LCM of 41392 and 41404.

LCM(41392,41404) = 2⁴ × 13¹ × 199¹ × 11¹ × 941¹
LCM(41392,41404) = 428448592