What is the Least Common Multiple of 20380 and 20389?

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 20389 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 20389, than apply into the LCM equation.

GCF(20380,20389) = 1
LCM(20380,20389) = ( 20380 × 20389) / 1
LCM(20380,20389) = 415527820 / 1
LCM(20380,20389) = 415527820

Least Common Multiple (LCM) of 20380 and 20389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20380 and 20389. First we will calculate the prime factors of 20380 and 20389.

Prime Factorization of 20380

Prime Factorization of 20389

Now multiplying the highest exponent prime factors to calculate the LCM of 20380 and 20389.

LCM(20380,20389) = 2² × 5¹ × 1019¹ × 20389¹
LCM(20380,20389) = 415527820