What is the Least Common Multiple of 20541 and 20559?

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 20541 and 20559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20541 and 20559, than apply into the LCM equation.

GCF(20541,20559) = 3
LCM(20541,20559) = ( 20541 × 20559) / 3
LCM(20541,20559) = 422302419 / 3
LCM(20541,20559) = 140767473

Least Common Multiple (LCM) of 20541 and 20559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20541 and 20559. First we will calculate the prime factors of 20541 and 20559.

Prime Factorization of 20541

Prime Factorization of 20559

Now multiplying the highest exponent prime factors to calculate the LCM of 20541 and 20559.

LCM(20541,20559) = 3¹ × 41¹ × 167¹ × 7¹ × 11¹ × 89¹
LCM(20541,20559) = 140767473