What is the Least Common Multiple of 26306 and 26317?

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 26306 and 26317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26306 and 26317, than apply into the LCM equation.

GCF(26306,26317) = 1
LCM(26306,26317) = ( 26306 × 26317) / 1
LCM(26306,26317) = 692295002 / 1
LCM(26306,26317) = 692295002

Least Common Multiple (LCM) of 26306 and 26317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26306 and 26317. First we will calculate the prime factors of 26306 and 26317.

Prime Factorization of 26306

Prime Factorization of 26317

Now multiplying the highest exponent prime factors to calculate the LCM of 26306 and 26317.

LCM(26306,26317) = 2¹ × 7¹ × 1879¹ × 26317¹
LCM(26306,26317) = 692295002