What is the Least Common Multiple of 20570 and 20582?

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 20570 and 20582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20570 and 20582, than apply into the LCM equation.

GCF(20570,20582) = 2
LCM(20570,20582) = ( 20570 × 20582) / 2
LCM(20570,20582) = 423371740 / 2
LCM(20570,20582) = 211685870

Least Common Multiple (LCM) of 20570 and 20582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20570 and 20582. First we will calculate the prime factors of 20570 and 20582.

Prime Factorization of 20570

Prime Factorization of 20582

Now multiplying the highest exponent prime factors to calculate the LCM of 20570 and 20582.

LCM(20570,20582) = 2¹ × 5¹ × 11² × 17¹ × 41¹ × 251¹
LCM(20570,20582) = 211685870