What is the Least Common Multiple of 14320 and 14330?

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 14330 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 14330, than apply into the LCM equation.

GCF(14320,14330) = 10
LCM(14320,14330) = ( 14320 × 14330) / 10
LCM(14320,14330) = 205205600 / 10
LCM(14320,14330) = 20520560

Least Common Multiple (LCM) of 14320 and 14330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14320 and 14330. First we will calculate the prime factors of 14320 and 14330.

Prime Factorization of 14320

Prime Factorization of 14330

Now multiplying the highest exponent prime factors to calculate the LCM of 14320 and 14330.

LCM(14320,14330) = 2⁴ × 5¹ × 179¹ × 1433¹
LCM(14320,14330) = 20520560