What is the Least Common Multiple of 14342 and 14362?

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 14342 and 14362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14342 and 14362, than apply into the LCM equation.

GCF(14342,14362) = 2
LCM(14342,14362) = ( 14342 × 14362) / 2
LCM(14342,14362) = 205979804 / 2
LCM(14342,14362) = 102989902

Least Common Multiple (LCM) of 14342 and 14362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14342 and 14362. First we will calculate the prime factors of 14342 and 14362.

Prime Factorization of 14342

Prime Factorization of 14362

Now multiplying the highest exponent prime factors to calculate the LCM of 14342 and 14362.

LCM(14342,14362) = 2¹ × 71¹ × 101¹ × 43¹ × 167¹
LCM(14342,14362) = 102989902