What is the Least Common Multiple of 14296 and 14316?

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 14296 and 14316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14296 and 14316, than apply into the LCM equation.

GCF(14296,14316) = 4
LCM(14296,14316) = ( 14296 × 14316) / 4
LCM(14296,14316) = 204661536 / 4
LCM(14296,14316) = 51165384

Least Common Multiple (LCM) of 14296 and 14316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14296 and 14316. First we will calculate the prime factors of 14296 and 14316.

Prime Factorization of 14296

Prime Factorization of 14316

Now multiplying the highest exponent prime factors to calculate the LCM of 14296 and 14316.

LCM(14296,14316) = 2³ × 1787¹ × 3¹ × 1193¹
LCM(14296,14316) = 51165384