What is the Least Common Multiple of 20389 and 20405?

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 20389 and 20405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20389 and 20405, than apply into the LCM equation.

GCF(20389,20405) = 1
LCM(20389,20405) = ( 20389 × 20405) / 1
LCM(20389,20405) = 416037545 / 1
LCM(20389,20405) = 416037545

Least Common Multiple (LCM) of 20389 and 20405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20389 and 20405. First we will calculate the prime factors of 20389 and 20405.

Prime Factorization of 20389

Prime Factorization of 20405

Now multiplying the highest exponent prime factors to calculate the LCM of 20389 and 20405.

LCM(20389,20405) = 20389¹ × 5¹ × 7¹ × 11¹ × 53¹
LCM(20389,20405) = 416037545