What is the Least Common Multiple of 26663 and 26681?

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 26663 and 26681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26663 and 26681, than apply into the LCM equation.

GCF(26663,26681) = 1
LCM(26663,26681) = ( 26663 × 26681) / 1
LCM(26663,26681) = 711395503 / 1
LCM(26663,26681) = 711395503

Least Common Multiple (LCM) of 26663 and 26681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26663 and 26681. First we will calculate the prime factors of 26663 and 26681.

Prime Factorization of 26663

Prime Factorization of 26681

Now multiplying the highest exponent prime factors to calculate the LCM of 26663 and 26681.

LCM(26663,26681) = 7¹ × 13¹ × 293¹ × 26681¹
LCM(26663,26681) = 711395503