What is the Least Common Multiple of 11296 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 11296 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 11296 and 11314, than apply into the LCM equation.

GCF(11296,11314) = 2
LCM(11296,11314) = ( 11296 × 11314) / 2
LCM(11296,11314) = 127802944 / 2
LCM(11296,11314) = 63901472

Least Common Multiple (LCM) of 11296 and 11314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11296 and 11314. First we will calculate the prime factors of 11296 and 11314.

Prime Factorization of 11296

Prime Factorization of 11314

Now multiplying the highest exponent prime factors to calculate the LCM of 11296 and 11314.

LCM(11296,11314) = 2⁵ × 353¹ × 5657¹
LCM(11296,11314) = 63901472