What is the Least Common Multiple of 82999 and 83009?

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 83009 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 83009, than apply into the LCM equation.

GCF(82999,83009) = 1
LCM(82999,83009) = ( 82999 × 83009) / 1
LCM(82999,83009) = 6889663991 / 1
LCM(82999,83009) = 6889663991

Least Common Multiple (LCM) of 82999 and 83009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82999 and 83009. First we will calculate the prime factors of 82999 and 83009.

Prime Factorization of 82999

Prime Factorization of 83009

Now multiplying the highest exponent prime factors to calculate the LCM of 82999 and 83009.

LCM(82999,83009) = 7¹ × 71¹ × 167¹ × 83009¹
LCM(82999,83009) = 6889663991