What is the Least Common Multiple of 41296 and 41312?

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 41296 and 41312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41296 and 41312, than apply into the LCM equation.

GCF(41296,41312) = 16
LCM(41296,41312) = ( 41296 × 41312) / 16
LCM(41296,41312) = 1706020352 / 16
LCM(41296,41312) = 106626272

Least Common Multiple (LCM) of 41296 and 41312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41296 and 41312. First we will calculate the prime factors of 41296 and 41312.

Prime Factorization of 41296

Prime Factorization of 41312

Now multiplying the highest exponent prime factors to calculate the LCM of 41296 and 41312.

LCM(41296,41312) = 2⁵ × 29¹ × 89¹ × 1291¹
LCM(41296,41312) = 106626272