What is the Least Common Multiple of 41696 and 41700?

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 41700 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 41700, than apply into the LCM equation.

GCF(41696,41700) = 4
LCM(41696,41700) = ( 41696 × 41700) / 4
LCM(41696,41700) = 1738723200 / 4
LCM(41696,41700) = 434680800

Least Common Multiple (LCM) of 41696 and 41700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41696 and 41700. First we will calculate the prime factors of 41696 and 41700.

Prime Factorization of 41696

Prime Factorization of 41700

Now multiplying the highest exponent prime factors to calculate the LCM of 41696 and 41700.

LCM(41696,41700) = 2⁵ × 1303¹ × 3¹ × 5² × 139¹
LCM(41696,41700) = 434680800