What is the Least Common Multiple of 41688 and 41696?

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 41688 and 41696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41688 and 41696, than apply into the LCM equation.

GCF(41688,41696) = 8
LCM(41688,41696) = ( 41688 × 41696) / 8
LCM(41688,41696) = 1738222848 / 8
LCM(41688,41696) = 217277856

Least Common Multiple (LCM) of 41688 and 41696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41688 and 41696. First we will calculate the prime factors of 41688 and 41696.

Prime Factorization of 41688

Prime Factorization of 41696

Now multiplying the highest exponent prime factors to calculate the LCM of 41688 and 41696.

LCM(41688,41696) = 2⁵ × 3³ × 193¹ × 1303¹
LCM(41688,41696) = 217277856