What is the Least Common Multiple of 17320 and 17331?

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 17320 and 17331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17320 and 17331, than apply into the LCM equation.

GCF(17320,17331) = 1
LCM(17320,17331) = ( 17320 × 17331) / 1
LCM(17320,17331) = 300172920 / 1
LCM(17320,17331) = 300172920

Least Common Multiple (LCM) of 17320 and 17331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17320 and 17331. First we will calculate the prime factors of 17320 and 17331.

Prime Factorization of 17320

Prime Factorization of 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 17320 and 17331.

LCM(17320,17331) = 2³ × 5¹ × 433¹ × 3¹ × 53¹ × 109¹
LCM(17320,17331) = 300172920