What is the Least Common Multiple of 26299 and 26309?

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 26299 and 26309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26299 and 26309, than apply into the LCM equation.

GCF(26299,26309) = 1
LCM(26299,26309) = ( 26299 × 26309) / 1
LCM(26299,26309) = 691900391 / 1
LCM(26299,26309) = 691900391

Least Common Multiple (LCM) of 26299 and 26309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26299 and 26309. First we will calculate the prime factors of 26299 and 26309.

Prime Factorization of 26299

Prime Factorization of 26309

Now multiplying the highest exponent prime factors to calculate the LCM of 26299 and 26309.

LCM(26299,26309) = 7¹ × 13¹ × 17² × 26309¹
LCM(26299,26309) = 691900391