What is the Least Common Multiple of 83239 and 83259?

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 83239 and 83259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83239 and 83259, than apply into the LCM equation.

GCF(83239,83259) = 1
LCM(83239,83259) = ( 83239 × 83259) / 1
LCM(83239,83259) = 6930395901 / 1
LCM(83239,83259) = 6930395901

Least Common Multiple (LCM) of 83239 and 83259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83239 and 83259. First we will calculate the prime factors of 83239 and 83259.

Prime Factorization of 83239

Prime Factorization of 83259

Now multiplying the highest exponent prime factors to calculate the LCM of 83239 and 83259.

LCM(83239,83259) = 13¹ × 19¹ × 337¹ × 3² × 11¹ × 29²
LCM(83239,83259) = 6930395901