What is the Least Common Multiple of 8259 and 8279?

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 8259 and 8279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8259 and 8279, than apply into the LCM equation.

GCF(8259,8279) = 1
LCM(8259,8279) = ( 8259 × 8279) / 1
LCM(8259,8279) = 68376261 / 1
LCM(8259,8279) = 68376261

Least Common Multiple (LCM) of 8259 and 8279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8259 and 8279. First we will calculate the prime factors of 8259 and 8279.

Prime Factorization of 8259

Prime Factorization of 8279

Now multiplying the highest exponent prime factors to calculate the LCM of 8259 and 8279.

LCM(8259,8279) = 3¹ × 2753¹ × 17¹ × 487¹
LCM(8259,8279) = 68376261