What is the Least Common Multiple of 26574 and 26589?

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 26574 and 26589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26574 and 26589, than apply into the LCM equation.

GCF(26574,26589) = 3
LCM(26574,26589) = ( 26574 × 26589) / 3
LCM(26574,26589) = 706576086 / 3
LCM(26574,26589) = 235525362

Least Common Multiple (LCM) of 26574 and 26589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26574 and 26589. First we will calculate the prime factors of 26574 and 26589.

Prime Factorization of 26574

Prime Factorization of 26589

Now multiplying the highest exponent prime factors to calculate the LCM of 26574 and 26589.

LCM(26574,26589) = 2¹ × 3¹ × 43¹ × 103¹ × 8863¹
LCM(26574,26589) = 235525362