What is the Least Common Multiple of 20271 and 20289?

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 20289 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 20289, than apply into the LCM equation.

GCF(20271,20289) = 3
LCM(20271,20289) = ( 20271 × 20289) / 3
LCM(20271,20289) = 411278319 / 3
LCM(20271,20289) = 137092773

Least Common Multiple (LCM) of 20271 and 20289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20271 and 20289. First we will calculate the prime factors of 20271 and 20289.

Prime Factorization of 20271

Prime Factorization of 20289

Now multiplying the highest exponent prime factors to calculate the LCM of 20271 and 20289.

LCM(20271,20289) = 3¹ × 29¹ × 233¹ × 6763¹
LCM(20271,20289) = 137092773