What is the Least Common Multiple of 26170 and 26186?

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 26170 and 26186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26170 and 26186, than apply into the LCM equation.

GCF(26170,26186) = 2
LCM(26170,26186) = ( 26170 × 26186) / 2
LCM(26170,26186) = 685287620 / 2
LCM(26170,26186) = 342643810

Least Common Multiple (LCM) of 26170 and 26186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26170 and 26186. First we will calculate the prime factors of 26170 and 26186.

Prime Factorization of 26170

Prime Factorization of 26186

Now multiplying the highest exponent prime factors to calculate the LCM of 26170 and 26186.

LCM(26170,26186) = 2¹ × 5¹ × 2617¹ × 13093¹
LCM(26170,26186) = 342643810