What is the Least Common Multiple of 20591 and 20600?

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 20600 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 20600, than apply into the LCM equation.

GCF(20591,20600) = 1
LCM(20591,20600) = ( 20591 × 20600) / 1
LCM(20591,20600) = 424174600 / 1
LCM(20591,20600) = 424174600

Least Common Multiple (LCM) of 20591 and 20600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20591 and 20600. First we will calculate the prime factors of 20591 and 20600.

Prime Factorization of 20591

Prime Factorization of 20600

Now multiplying the highest exponent prime factors to calculate the LCM of 20591 and 20600.

LCM(20591,20600) = 59¹ × 349¹ × 2³ × 5² × 103¹
LCM(20591,20600) = 424174600