What is the Least Common Multiple of 11310 and 11314?

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 11310 and 11314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11310 and 11314, than apply into the LCM equation.

GCF(11310,11314) = 2
LCM(11310,11314) = ( 11310 × 11314) / 2
LCM(11310,11314) = 127961340 / 2
LCM(11310,11314) = 63980670

Least Common Multiple (LCM) of 11310 and 11314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11310 and 11314. First we will calculate the prime factors of 11310 and 11314.

Prime Factorization of 11310

Prime Factorization of 11314

Now multiplying the highest exponent prime factors to calculate the LCM of 11310 and 11314.

LCM(11310,11314) = 2¹ × 3¹ × 5¹ × 13¹ × 29¹ × 5657¹
LCM(11310,11314) = 63980670