What is the Least Common Multiple of 97312 and 97317?

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 97312 and 97317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97312 and 97317, than apply into the LCM equation.

GCF(97312,97317) = 1
LCM(97312,97317) = ( 97312 × 97317) / 1
LCM(97312,97317) = 9470111904 / 1
LCM(97312,97317) = 9470111904

Least Common Multiple (LCM) of 97312 and 97317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97312 and 97317. First we will calculate the prime factors of 97312 and 97317.

Prime Factorization of 97312

Prime Factorization of 97317

Now multiplying the highest exponent prime factors to calculate the LCM of 97312 and 97317.

LCM(97312,97317) = 2⁵ × 3041¹ × 3² × 11¹ × 983¹
LCM(97312,97317) = 9470111904