What is the Least Common Multiple of 11796 and 11811?

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 11811 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 11811, than apply into the LCM equation.

GCF(11796,11811) = 3
LCM(11796,11811) = ( 11796 × 11811) / 3
LCM(11796,11811) = 139322556 / 3
LCM(11796,11811) = 46440852

Least Common Multiple (LCM) of 11796 and 11811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11796 and 11811. First we will calculate the prime factors of 11796 and 11811.

Prime Factorization of 11796

Prime Factorization of 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 11796 and 11811.

LCM(11796,11811) = 2² × 3¹ × 983¹ × 31¹ × 127¹
LCM(11796,11811) = 46440852