What is the Least Common Multiple of 20380 and 20399?

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 20380 and 20399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20380 and 20399, than apply into the LCM equation.

GCF(20380,20399) = 1
LCM(20380,20399) = ( 20380 × 20399) / 1
LCM(20380,20399) = 415731620 / 1
LCM(20380,20399) = 415731620

Least Common Multiple (LCM) of 20380 and 20399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20380 and 20399. First we will calculate the prime factors of 20380 and 20399.

Prime Factorization of 20380

Prime Factorization of 20399

Now multiplying the highest exponent prime factors to calculate the LCM of 20380 and 20399.

LCM(20380,20399) = 2² × 5¹ × 1019¹ × 20399¹
LCM(20380,20399) = 415731620