What is the Least Common Multiple of 68319 and 68337?

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 68319 and 68337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68319 and 68337, than apply into the LCM equation.

GCF(68319,68337) = 9
LCM(68319,68337) = ( 68319 × 68337) / 9
LCM(68319,68337) = 4668715503 / 9
LCM(68319,68337) = 518746167

Least Common Multiple (LCM) of 68319 and 68337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68319 and 68337. First we will calculate the prime factors of 68319 and 68337.

Prime Factorization of 68319

Prime Factorization of 68337

Now multiplying the highest exponent prime factors to calculate the LCM of 68319 and 68337.

LCM(68319,68337) = 3³ × 7591¹ × 2531¹
LCM(68319,68337) = 518746167