What is the Least Common Multiple of 14320 and 14334?

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 14320 and 14334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14320 and 14334, than apply into the LCM equation.

GCF(14320,14334) = 2
LCM(14320,14334) = ( 14320 × 14334) / 2
LCM(14320,14334) = 205262880 / 2
LCM(14320,14334) = 102631440

Least Common Multiple (LCM) of 14320 and 14334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14320 and 14334. First we will calculate the prime factors of 14320 and 14334.

Prime Factorization of 14320

Prime Factorization of 14334

Now multiplying the highest exponent prime factors to calculate the LCM of 14320 and 14334.

LCM(14320,14334) = 2⁴ × 5¹ × 179¹ × 3¹ × 2389¹
LCM(14320,14334) = 102631440