What is the Least Common Multiple of 11355 and 11363?

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 11355 and 11363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11355 and 11363, than apply into the LCM equation.

GCF(11355,11363) = 1
LCM(11355,11363) = ( 11355 × 11363) / 1
LCM(11355,11363) = 129026865 / 1
LCM(11355,11363) = 129026865

Least Common Multiple (LCM) of 11355 and 11363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11355 and 11363. First we will calculate the prime factors of 11355 and 11363.

Prime Factorization of 11355

Prime Factorization of 11363

Now multiplying the highest exponent prime factors to calculate the LCM of 11355 and 11363.

LCM(11355,11363) = 3¹ × 5¹ × 757¹ × 11¹ × 1033¹
LCM(11355,11363) = 129026865