What is the Least Common Multiple of 26678 and 26689?

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 26689 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 26689, than apply into the LCM equation.

GCF(26678,26689) = 1
LCM(26678,26689) = ( 26678 × 26689) / 1
LCM(26678,26689) = 712009142 / 1
LCM(26678,26689) = 712009142

Least Common Multiple (LCM) of 26678 and 26689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26678 and 26689. First we will calculate the prime factors of 26678 and 26689.

Prime Factorization of 26678

Prime Factorization of 26689

Now multiplying the highest exponent prime factors to calculate the LCM of 26678 and 26689.

LCM(26678,26689) = 2¹ × 13339¹ × 13¹ × 2053¹
LCM(26678,26689) = 712009142