What is the Least Common Multiple of 41056 and 41076?

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 41076 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 41076, than apply into the LCM equation.

GCF(41056,41076) = 4
LCM(41056,41076) = ( 41056 × 41076) / 4
LCM(41056,41076) = 1686416256 / 4
LCM(41056,41076) = 421604064

Least Common Multiple (LCM) of 41056 and 41076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41056 and 41076. First we will calculate the prime factors of 41056 and 41076.

Prime Factorization of 41056

Prime Factorization of 41076

Now multiplying the highest exponent prime factors to calculate the LCM of 41056 and 41076.

LCM(41056,41076) = 2⁵ × 1283¹ × 3² × 7¹ × 163¹
LCM(41056,41076) = 421604064