What is the Least Common Multiple of 26170 and 26184?

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 26184 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 26184, than apply into the LCM equation.

GCF(26170,26184) = 2
LCM(26170,26184) = ( 26170 × 26184) / 2
LCM(26170,26184) = 685235280 / 2
LCM(26170,26184) = 342617640

Least Common Multiple (LCM) of 26170 and 26184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26170 and 26184. First we will calculate the prime factors of 26170 and 26184.

Prime Factorization of 26170

Prime Factorization of 26184

Now multiplying the highest exponent prime factors to calculate the LCM of 26170 and 26184.

LCM(26170,26184) = 2³ × 5¹ × 2617¹ × 3¹ × 1091¹
LCM(26170,26184) = 342617640