What is the Least Common Multiple of 20565 and 20577?

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 20577 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 20577, than apply into the LCM equation.

GCF(20565,20577) = 3
LCM(20565,20577) = ( 20565 × 20577) / 3
LCM(20565,20577) = 423166005 / 3
LCM(20565,20577) = 141055335

Least Common Multiple (LCM) of 20565 and 20577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20565 and 20577. First we will calculate the prime factors of 20565 and 20577.

Prime Factorization of 20565

Prime Factorization of 20577

Now multiplying the highest exponent prime factors to calculate the LCM of 20565 and 20577.

LCM(20565,20577) = 3² × 5¹ × 457¹ × 19³
LCM(20565,20577) = 141055335