What is the Least Common Multiple of 80245 and 80259?

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 80245 and 80259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80245 and 80259, than apply into the LCM equation.

GCF(80245,80259) = 1
LCM(80245,80259) = ( 80245 × 80259) / 1
LCM(80245,80259) = 6440383455 / 1
LCM(80245,80259) = 6440383455

Least Common Multiple (LCM) of 80245 and 80259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80245 and 80259. First we will calculate the prime factors of 80245 and 80259.

Prime Factorization of 80245

Prime Factorization of 80259

Now multiplying the highest exponent prime factors to calculate the LCM of 80245 and 80259.

LCM(80245,80259) = 5¹ × 11¹ × 1459¹ × 3¹ × 31¹ × 863¹
LCM(80245,80259) = 6440383455