What is the Least Common Multiple of 11780 and 11796?

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 11780 and 11796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11780 and 11796, than apply into the LCM equation.

GCF(11780,11796) = 4
LCM(11780,11796) = ( 11780 × 11796) / 4
LCM(11780,11796) = 138956880 / 4
LCM(11780,11796) = 34739220

Least Common Multiple (LCM) of 11780 and 11796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11780 and 11796. First we will calculate the prime factors of 11780 and 11796.

Prime Factorization of 11780

Prime Factorization of 11796

Now multiplying the highest exponent prime factors to calculate the LCM of 11780 and 11796.

LCM(11780,11796) = 2² × 5¹ × 19¹ × 31¹ × 3¹ × 983¹
LCM(11780,11796) = 34739220