What is the Least Common Multiple of 83249 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 83249 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 83249 and 83259, than apply into the LCM equation.

GCF(83249,83259) = 1
LCM(83249,83259) = ( 83249 × 83259) / 1
LCM(83249,83259) = 6931228491 / 1
LCM(83249,83259) = 6931228491

Least Common Multiple (LCM) of 83249 and 83259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83249 and 83259. First we will calculate the prime factors of 83249 and 83259.

Prime Factorization of 83249

Prime Factorization of 83259

Now multiplying the highest exponent prime factors to calculate the LCM of 83249 and 83259.

LCM(83249,83259) = 17¹ × 59¹ × 83¹ × 3² × 11¹ × 29²
LCM(83249,83259) = 6931228491