What is the Least Common Multiple of 41376 and 41384?

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 41376 and 41384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41376 and 41384, than apply into the LCM equation.

GCF(41376,41384) = 8
LCM(41376,41384) = ( 41376 × 41384) / 8
LCM(41376,41384) = 1712304384 / 8
LCM(41376,41384) = 214038048

Least Common Multiple (LCM) of 41376 and 41384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41376 and 41384. First we will calculate the prime factors of 41376 and 41384.

Prime Factorization of 41376

Prime Factorization of 41384

Now multiplying the highest exponent prime factors to calculate the LCM of 41376 and 41384.

LCM(41376,41384) = 2⁵ × 3¹ × 431¹ × 7¹ × 739¹
LCM(41376,41384) = 214038048