What is the Least Common Multiple of 41282 and 41296?

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 41282 and 41296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41282 and 41296, than apply into the LCM equation.

GCF(41282,41296) = 2
LCM(41282,41296) = ( 41282 × 41296) / 2
LCM(41282,41296) = 1704781472 / 2
LCM(41282,41296) = 852390736

Least Common Multiple (LCM) of 41282 and 41296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41282 and 41296. First we will calculate the prime factors of 41282 and 41296.

Prime Factorization of 41282

Prime Factorization of 41296

Now multiplying the highest exponent prime factors to calculate the LCM of 41282 and 41296.

LCM(41282,41296) = 2⁴ × 20641¹ × 29¹ × 89¹
LCM(41282,41296) = 852390736