What is the Least Common Multiple of 26653 and 26667?

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 26653 and 26667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26653 and 26667, than apply into the LCM equation.

GCF(26653,26667) = 1
LCM(26653,26667) = ( 26653 × 26667) / 1
LCM(26653,26667) = 710755551 / 1
LCM(26653,26667) = 710755551

Least Common Multiple (LCM) of 26653 and 26667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26653 and 26667. First we will calculate the prime factors of 26653 and 26667.

Prime Factorization of 26653

Prime Factorization of 26667

Now multiplying the highest exponent prime factors to calculate the LCM of 26653 and 26667.

LCM(26653,26667) = 11¹ × 2423¹ × 3² × 2963¹
LCM(26653,26667) = 710755551