What is the Least Common Multiple of 41355 and 41368?

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 41355 and 41368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41355 and 41368, than apply into the LCM equation.

GCF(41355,41368) = 1
LCM(41355,41368) = ( 41355 × 41368) / 1
LCM(41355,41368) = 1710773640 / 1
LCM(41355,41368) = 1710773640

Least Common Multiple (LCM) of 41355 and 41368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41355 and 41368. First we will calculate the prime factors of 41355 and 41368.

Prime Factorization of 41355

Prime Factorization of 41368

Now multiplying the highest exponent prime factors to calculate the LCM of 41355 and 41368.

LCM(41355,41368) = 3² × 5¹ × 919¹ × 2³ × 5171¹
LCM(41355,41368) = 1710773640