What is the Least Common Multiple of 41696 and 41714?

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 41696 and 41714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41696 and 41714, than apply into the LCM equation.

GCF(41696,41714) = 2
LCM(41696,41714) = ( 41696 × 41714) / 2
LCM(41696,41714) = 1739306944 / 2
LCM(41696,41714) = 869653472

Least Common Multiple (LCM) of 41696 and 41714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41696 and 41714. First we will calculate the prime factors of 41696 and 41714.

Prime Factorization of 41696

Prime Factorization of 41714

Now multiplying the highest exponent prime factors to calculate the LCM of 41696 and 41714.

LCM(41696,41714) = 2⁵ × 1303¹ × 20857¹
LCM(41696,41714) = 869653472