What is the Least Common Multiple of 41056 and 41074?

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 41056 and 41074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41056 and 41074, than apply into the LCM equation.

GCF(41056,41074) = 2
LCM(41056,41074) = ( 41056 × 41074) / 2
LCM(41056,41074) = 1686334144 / 2
LCM(41056,41074) = 843167072

Least Common Multiple (LCM) of 41056 and 41074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41056 and 41074. First we will calculate the prime factors of 41056 and 41074.

Prime Factorization of 41056

Prime Factorization of 41074

Now multiplying the highest exponent prime factors to calculate the LCM of 41056 and 41074.

LCM(41056,41074) = 2⁵ × 1283¹ × 11¹ × 1867¹
LCM(41056,41074) = 843167072