What is the Least Common Multiple of 14314 and 14320?

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 14314 and 14320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14314 and 14320, than apply into the LCM equation.

GCF(14314,14320) = 2
LCM(14314,14320) = ( 14314 × 14320) / 2
LCM(14314,14320) = 204976480 / 2
LCM(14314,14320) = 102488240

Least Common Multiple (LCM) of 14314 and 14320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14314 and 14320. First we will calculate the prime factors of 14314 and 14320.

Prime Factorization of 14314

Prime Factorization of 14320

Now multiplying the highest exponent prime factors to calculate the LCM of 14314 and 14320.

LCM(14314,14320) = 2⁴ × 17¹ × 421¹ × 5¹ × 179¹
LCM(14314,14320) = 102488240