What is the Least Common Multiple of 17031 and 17040?

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 17031 and 17040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17031 and 17040, than apply into the LCM equation.

GCF(17031,17040) = 3
LCM(17031,17040) = ( 17031 × 17040) / 3
LCM(17031,17040) = 290208240 / 3
LCM(17031,17040) = 96736080

Least Common Multiple (LCM) of 17031 and 17040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17031 and 17040. First we will calculate the prime factors of 17031 and 17040.

Prime Factorization of 17031

Prime Factorization of 17040

Now multiplying the highest exponent prime factors to calculate the LCM of 17031 and 17040.

LCM(17031,17040) = 3¹ × 7¹ × 811¹ × 2⁴ × 5¹ × 71¹
LCM(17031,17040) = 96736080