What is the Least Common Multiple of 41796 and 41811?

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 41796 and 41811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41796 and 41811, than apply into the LCM equation.

GCF(41796,41811) = 3
LCM(41796,41811) = ( 41796 × 41811) / 3
LCM(41796,41811) = 1747532556 / 3
LCM(41796,41811) = 582510852

Least Common Multiple (LCM) of 41796 and 41811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41796 and 41811. First we will calculate the prime factors of 41796 and 41811.

Prime Factorization of 41796

Prime Factorization of 41811

Now multiplying the highest exponent prime factors to calculate the LCM of 41796 and 41811.

LCM(41796,41811) = 2² × 3⁵ × 43¹ × 7¹ × 11¹ × 181¹
LCM(41796,41811) = 582510852