What is the Least Common Multiple of 41369 and 41378?

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 41369 and 41378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41369 and 41378, than apply into the LCM equation.

GCF(41369,41378) = 1
LCM(41369,41378) = ( 41369 × 41378) / 1
LCM(41369,41378) = 1711766482 / 1
LCM(41369,41378) = 1711766482

Least Common Multiple (LCM) of 41369 and 41378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41369 and 41378. First we will calculate the prime factors of 41369 and 41378.

Prime Factorization of 41369

Prime Factorization of 41378

Now multiplying the highest exponent prime factors to calculate the LCM of 41369 and 41378.

LCM(41369,41378) = 41¹ × 1009¹ × 2¹ × 17¹ × 1217¹
LCM(41369,41378) = 1711766482