What is the Least Common Multiple of 20560 and 20565?

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 20560 and 20565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20560 and 20565, than apply into the LCM equation.

GCF(20560,20565) = 5
LCM(20560,20565) = ( 20560 × 20565) / 5
LCM(20560,20565) = 422816400 / 5
LCM(20560,20565) = 84563280

Least Common Multiple (LCM) of 20560 and 20565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20560 and 20565. First we will calculate the prime factors of 20560 and 20565.

Prime Factorization of 20560

Prime Factorization of 20565

Now multiplying the highest exponent prime factors to calculate the LCM of 20560 and 20565.

LCM(20560,20565) = 2⁴ × 5¹ × 257¹ × 3² × 457¹
LCM(20560,20565) = 84563280