What is the Least Common Multiple of 14320 and 14332?

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 14332 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 14332, than apply into the LCM equation.

GCF(14320,14332) = 4
LCM(14320,14332) = ( 14320 × 14332) / 4
LCM(14320,14332) = 205234240 / 4
LCM(14320,14332) = 51308560

Least Common Multiple (LCM) of 14320 and 14332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14320 and 14332. First we will calculate the prime factors of 14320 and 14332.

Prime Factorization of 14320

Prime Factorization of 14332

Now multiplying the highest exponent prime factors to calculate the LCM of 14320 and 14332.

LCM(14320,14332) = 2⁴ × 5¹ × 179¹ × 3583¹
LCM(14320,14332) = 51308560