What is the Least Common Multiple of 20857 and 20871?

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 20857 and 20871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20857 and 20871, than apply into the LCM equation.

GCF(20857,20871) = 1
LCM(20857,20871) = ( 20857 × 20871) / 1
LCM(20857,20871) = 435306447 / 1
LCM(20857,20871) = 435306447

Least Common Multiple (LCM) of 20857 and 20871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20857 and 20871. First we will calculate the prime factors of 20857 and 20871.

Prime Factorization of 20857

Prime Factorization of 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 20857 and 20871.

LCM(20857,20871) = 20857¹ × 3³ × 773¹
LCM(20857,20871) = 435306447