What is the Least Common Multiple of 41378 and 41382?

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 41382 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 41382, than apply into the LCM equation.

GCF(41378,41382) = 2
LCM(41378,41382) = ( 41378 × 41382) / 2
LCM(41378,41382) = 1712304396 / 2
LCM(41378,41382) = 856152198

Least Common Multiple (LCM) of 41378 and 41382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41378 and 41382. First we will calculate the prime factors of 41378 and 41382.

Prime Factorization of 41378

Prime Factorization of 41382

Now multiplying the highest exponent prime factors to calculate the LCM of 41378 and 41382.

LCM(41378,41382) = 2¹ × 17¹ × 1217¹ × 3² × 11² × 19¹
LCM(41378,41382) = 856152198