What is the Least Common Multiple of 20269 and 20285?

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 20269 and 20285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20269 and 20285, than apply into the LCM equation.

GCF(20269,20285) = 1
LCM(20269,20285) = ( 20269 × 20285) / 1
LCM(20269,20285) = 411156665 / 1
LCM(20269,20285) = 411156665

Least Common Multiple (LCM) of 20269 and 20285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20269 and 20285. First we will calculate the prime factors of 20269 and 20285.

Prime Factorization of 20269

Prime Factorization of 20285

Now multiplying the highest exponent prime factors to calculate the LCM of 20269 and 20285.

LCM(20269,20285) = 20269¹ × 5¹ × 4057¹
LCM(20269,20285) = 411156665