What is the Least Common Multiple of 97317 and 97337?

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 97317 and 97337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97317 and 97337, than apply into the LCM equation.

GCF(97317,97337) = 1
LCM(97317,97337) = ( 97317 × 97337) / 1
LCM(97317,97337) = 9472544829 / 1
LCM(97317,97337) = 9472544829

Least Common Multiple (LCM) of 97317 and 97337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97317 and 97337. First we will calculate the prime factors of 97317 and 97337.

Prime Factorization of 97317

Prime Factorization of 97337

Now multiplying the highest exponent prime factors to calculate the LCM of 97317 and 97337.

LCM(97317,97337) = 3² × 11¹ × 983¹ × 19¹ × 47¹ × 109¹
LCM(97317,97337) = 9472544829