What is the Least Common Multiple of 11796 and 11816?

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 11796 and 11816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11796 and 11816, than apply into the LCM equation.

GCF(11796,11816) = 4
LCM(11796,11816) = ( 11796 × 11816) / 4
LCM(11796,11816) = 139381536 / 4
LCM(11796,11816) = 34845384

Least Common Multiple (LCM) of 11796 and 11816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11796 and 11816. First we will calculate the prime factors of 11796 and 11816.

Prime Factorization of 11796

Prime Factorization of 11816

Now multiplying the highest exponent prime factors to calculate the LCM of 11796 and 11816.

LCM(11796,11816) = 2³ × 3¹ × 983¹ × 7¹ × 211¹
LCM(11796,11816) = 34845384