What is the Least Common Multiple of 41376 and 41389?

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 41389 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 41389, than apply into the LCM equation.

GCF(41376,41389) = 1
LCM(41376,41389) = ( 41376 × 41389) / 1
LCM(41376,41389) = 1712511264 / 1
LCM(41376,41389) = 1712511264

Least Common Multiple (LCM) of 41376 and 41389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41376 and 41389. First we will calculate the prime factors of 41376 and 41389.

Prime Factorization of 41376

Prime Factorization of 41389

Now multiplying the highest exponent prime factors to calculate the LCM of 41376 and 41389.

LCM(41376,41389) = 2⁵ × 3¹ × 431¹ × 41389¹
LCM(41376,41389) = 1712511264