What is the Least Common Multiple of 41168 and 41183?

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 41168 and 41183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41168 and 41183, than apply into the LCM equation.

GCF(41168,41183) = 1
LCM(41168,41183) = ( 41168 × 41183) / 1
LCM(41168,41183) = 1695421744 / 1
LCM(41168,41183) = 1695421744

Least Common Multiple (LCM) of 41168 and 41183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41168 and 41183. First we will calculate the prime factors of 41168 and 41183.

Prime Factorization of 41168

Prime Factorization of 41183

Now multiplying the highest exponent prime factors to calculate the LCM of 41168 and 41183.

LCM(41168,41183) = 2⁴ × 31¹ × 83¹ × 41183¹
LCM(41168,41183) = 1695421744