What is the Least Common Multiple of 82999 and 83005?

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 82999 and 83005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82999 and 83005, than apply into the LCM equation.

GCF(82999,83005) = 1
LCM(82999,83005) = ( 82999 × 83005) / 1
LCM(82999,83005) = 6889331995 / 1
LCM(82999,83005) = 6889331995

Least Common Multiple (LCM) of 82999 and 83005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82999 and 83005. First we will calculate the prime factors of 82999 and 83005.

Prime Factorization of 82999

Prime Factorization of 83005

Now multiplying the highest exponent prime factors to calculate the LCM of 82999 and 83005.

LCM(82999,83005) = 7¹ × 71¹ × 167¹ × 5¹ × 13¹ × 1277¹
LCM(82999,83005) = 6889331995