What is the Least Common Multiple of 11356 and 11373?

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 11356 and 11373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11356 and 11373, than apply into the LCM equation.

GCF(11356,11373) = 17
LCM(11356,11373) = ( 11356 × 11373) / 17
LCM(11356,11373) = 129151788 / 17
LCM(11356,11373) = 7597164

Least Common Multiple (LCM) of 11356 and 11373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11356 and 11373. First we will calculate the prime factors of 11356 and 11373.

Prime Factorization of 11356

Prime Factorization of 11373

Now multiplying the highest exponent prime factors to calculate the LCM of 11356 and 11373.

LCM(11356,11373) = 2² × 17¹ × 167¹ × 3¹ × 223¹
LCM(11356,11373) = 7597164