What is the Least Common Multiple of 20271 and 20291?

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 20271 and 20291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20271 and 20291, than apply into the LCM equation.

GCF(20271,20291) = 1
LCM(20271,20291) = ( 20271 × 20291) / 1
LCM(20271,20291) = 411318861 / 1
LCM(20271,20291) = 411318861

Least Common Multiple (LCM) of 20271 and 20291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20271 and 20291. First we will calculate the prime factors of 20271 and 20291.

Prime Factorization of 20271

Prime Factorization of 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 20271 and 20291.

LCM(20271,20291) = 3¹ × 29¹ × 233¹ × 103¹ × 197¹
LCM(20271,20291) = 411318861