What is the Least Common Multiple of 41566 and 41576?

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 41566 and 41576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41566 and 41576, than apply into the LCM equation.

GCF(41566,41576) = 2
LCM(41566,41576) = ( 41566 × 41576) / 2
LCM(41566,41576) = 1728148016 / 2
LCM(41566,41576) = 864074008

Least Common Multiple (LCM) of 41566 and 41576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41566 and 41576. First we will calculate the prime factors of 41566 and 41576.

Prime Factorization of 41566

Prime Factorization of 41576

Now multiplying the highest exponent prime factors to calculate the LCM of 41566 and 41576.

LCM(41566,41576) = 2³ × 7¹ × 2969¹ × 5197¹
LCM(41566,41576) = 864074008