What is the Least Common Multiple of 20565 and 20570?

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 20565 and 20570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20565 and 20570, than apply into the LCM equation.

GCF(20565,20570) = 5
LCM(20565,20570) = ( 20565 × 20570) / 5
LCM(20565,20570) = 423022050 / 5
LCM(20565,20570) = 84604410

Least Common Multiple (LCM) of 20565 and 20570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20565 and 20570. First we will calculate the prime factors of 20565 and 20570.

Prime Factorization of 20565

Prime Factorization of 20570

Now multiplying the highest exponent prime factors to calculate the LCM of 20565 and 20570.

LCM(20565,20570) = 3² × 5¹ × 457¹ × 2¹ × 11² × 17¹
LCM(20565,20570) = 84604410