What is the Least Common Multiple of 26678 and 26697?

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 26678 and 26697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26678 and 26697, than apply into the LCM equation.

GCF(26678,26697) = 1
LCM(26678,26697) = ( 26678 × 26697) / 1
LCM(26678,26697) = 712222566 / 1
LCM(26678,26697) = 712222566

Least Common Multiple (LCM) of 26678 and 26697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26678 and 26697. First we will calculate the prime factors of 26678 and 26697.

Prime Factorization of 26678

Prime Factorization of 26697

Now multiplying the highest exponent prime factors to calculate the LCM of 26678 and 26697.

LCM(26678,26697) = 2¹ × 13339¹ × 3¹ × 11¹ × 809¹
LCM(26678,26697) = 712222566