What is the Least Common Multiple of 79317 and 79337?

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 79317 and 79337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79317 and 79337, than apply into the LCM equation.

GCF(79317,79337) = 1
LCM(79317,79337) = ( 79317 × 79337) / 1
LCM(79317,79337) = 6292772829 / 1
LCM(79317,79337) = 6292772829

Least Common Multiple (LCM) of 79317 and 79337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79317 and 79337. First we will calculate the prime factors of 79317 and 79337.

Prime Factorization of 79317

Prime Factorization of 79337

Now multiplying the highest exponent prime factors to calculate the LCM of 79317 and 79337.

LCM(79317,79337) = 3² × 7¹ × 1259¹ × 79337¹
LCM(79317,79337) = 6292772829