What is the Least Common Multiple of 14274 and 14289?

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 14274 and 14289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14274 and 14289, than apply into the LCM equation.

GCF(14274,14289) = 3
LCM(14274,14289) = ( 14274 × 14289) / 3
LCM(14274,14289) = 203961186 / 3
LCM(14274,14289) = 67987062

Least Common Multiple (LCM) of 14274 and 14289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14274 and 14289. First we will calculate the prime factors of 14274 and 14289.

Prime Factorization of 14274

Prime Factorization of 14289

Now multiplying the highest exponent prime factors to calculate the LCM of 14274 and 14289.

LCM(14274,14289) = 2¹ × 3² × 13¹ × 61¹ × 11¹ × 433¹
LCM(14274,14289) = 67987062