What is the Least Common Multiple of 41358 and 41376?

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 41358 and 41376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41358 and 41376, than apply into the LCM equation.

GCF(41358,41376) = 6
LCM(41358,41376) = ( 41358 × 41376) / 6
LCM(41358,41376) = 1711228608 / 6
LCM(41358,41376) = 285204768

Least Common Multiple (LCM) of 41358 and 41376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41358 and 41376. First we will calculate the prime factors of 41358 and 41376.

Prime Factorization of 41358

Prime Factorization of 41376

Now multiplying the highest exponent prime factors to calculate the LCM of 41358 and 41376.

LCM(41358,41376) = 2⁵ × 3¹ × 61¹ × 113¹ × 431¹
LCM(41358,41376) = 285204768