What is the Least Common Multiple of 41056 and 41075?

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 41075 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 41075, than apply into the LCM equation.

GCF(41056,41075) = 1
LCM(41056,41075) = ( 41056 × 41075) / 1
LCM(41056,41075) = 1686375200 / 1
LCM(41056,41075) = 1686375200

Least Common Multiple (LCM) of 41056 and 41075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41056 and 41075. First we will calculate the prime factors of 41056 and 41075.

Prime Factorization of 41056

Prime Factorization of 41075

Now multiplying the highest exponent prime factors to calculate the LCM of 41056 and 41075.

LCM(41056,41075) = 2⁵ × 1283¹ × 5² × 31¹ × 53¹
LCM(41056,41075) = 1686375200