What is the Least Common Multiple of 11760 and 11774?

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 11760 and 11774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11760 and 11774, than apply into the LCM equation.

GCF(11760,11774) = 14
LCM(11760,11774) = ( 11760 × 11774) / 14
LCM(11760,11774) = 138462240 / 14
LCM(11760,11774) = 9890160

Least Common Multiple (LCM) of 11760 and 11774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11760 and 11774. First we will calculate the prime factors of 11760 and 11774.

Prime Factorization of 11760

Prime Factorization of 11774

Now multiplying the highest exponent prime factors to calculate the LCM of 11760 and 11774.

LCM(11760,11774) = 2⁴ × 3¹ × 5¹ × 7² × 29²
LCM(11760,11774) = 9890160