What is the Least Common Multiple of 41378 and 41394?

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 41378 and 41394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41378 and 41394, than apply into the LCM equation.

GCF(41378,41394) = 2
LCM(41378,41394) = ( 41378 × 41394) / 2
LCM(41378,41394) = 1712800932 / 2
LCM(41378,41394) = 856400466

Least Common Multiple (LCM) of 41378 and 41394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41378 and 41394. First we will calculate the prime factors of 41378 and 41394.

Prime Factorization of 41378

Prime Factorization of 41394

Now multiplying the highest exponent prime factors to calculate the LCM of 41378 and 41394.

LCM(41378,41394) = 2¹ × 17¹ × 1217¹ × 3¹ × 6899¹
LCM(41378,41394) = 856400466