What is the Least Common Multiple of 41878 and 41894?

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 41878 and 41894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41878 and 41894, than apply into the LCM equation.

GCF(41878,41894) = 2
LCM(41878,41894) = ( 41878 × 41894) / 2
LCM(41878,41894) = 1754436932 / 2
LCM(41878,41894) = 877218466

Least Common Multiple (LCM) of 41878 and 41894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41878 and 41894. First we will calculate the prime factors of 41878 and 41894.

Prime Factorization of 41878

Prime Factorization of 41894

Now multiplying the highest exponent prime factors to calculate the LCM of 41878 and 41894.

LCM(41878,41894) = 2¹ × 20939¹ × 20947¹
LCM(41878,41894) = 877218466