What is the Least Common Multiple of 41837 and 41854?

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 41837 and 41854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41837 and 41854, than apply into the LCM equation.

GCF(41837,41854) = 17
LCM(41837,41854) = ( 41837 × 41854) / 17
LCM(41837,41854) = 1751045798 / 17
LCM(41837,41854) = 103002694

Least Common Multiple (LCM) of 41837 and 41854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41837 and 41854. First we will calculate the prime factors of 41837 and 41854.

Prime Factorization of 41837

Prime Factorization of 41854

Now multiplying the highest exponent prime factors to calculate the LCM of 41837 and 41854.

LCM(41837,41854) = 17¹ × 23¹ × 107¹ × 2¹ × 1231¹
LCM(41837,41854) = 103002694