What is the Least Common Multiple of 14328 and 14342?

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 14328 and 14342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14328 and 14342, than apply into the LCM equation.

GCF(14328,14342) = 2
LCM(14328,14342) = ( 14328 × 14342) / 2
LCM(14328,14342) = 205492176 / 2
LCM(14328,14342) = 102746088

Least Common Multiple (LCM) of 14328 and 14342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14328 and 14342. First we will calculate the prime factors of 14328 and 14342.

Prime Factorization of 14328

Prime Factorization of 14342

Now multiplying the highest exponent prime factors to calculate the LCM of 14328 and 14342.

LCM(14328,14342) = 2³ × 3² × 199¹ × 71¹ × 101¹
LCM(14328,14342) = 102746088