What is the Least Common Multiple of 21582 and 21597?

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 21582 and 21597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21582 and 21597, than apply into the LCM equation.

GCF(21582,21597) = 3
LCM(21582,21597) = ( 21582 × 21597) / 3
LCM(21582,21597) = 466106454 / 3
LCM(21582,21597) = 155368818

Least Common Multiple (LCM) of 21582 and 21597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21582 and 21597. First we will calculate the prime factors of 21582 and 21597.

Prime Factorization of 21582

Prime Factorization of 21597

Now multiplying the highest exponent prime factors to calculate the LCM of 21582 and 21597.

LCM(21582,21597) = 2¹ × 3² × 11¹ × 109¹ × 23¹ × 313¹
LCM(21582,21597) = 155368818