What is the Least Common Multiple of 20591 and 20611?

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 20591 and 20611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20591 and 20611, than apply into the LCM equation.

GCF(20591,20611) = 1
LCM(20591,20611) = ( 20591 × 20611) / 1
LCM(20591,20611) = 424401101 / 1
LCM(20591,20611) = 424401101

Least Common Multiple (LCM) of 20591 and 20611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20591 and 20611. First we will calculate the prime factors of 20591 and 20611.

Prime Factorization of 20591

Prime Factorization of 20611

Now multiplying the highest exponent prime factors to calculate the LCM of 20591 and 20611.

LCM(20591,20611) = 59¹ × 349¹ × 20611¹
LCM(20591,20611) = 424401101