What is the Least Common Multiple of 20849 and 20867?

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 20849 and 20867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20849 and 20867, than apply into the LCM equation.

GCF(20849,20867) = 1
LCM(20849,20867) = ( 20849 × 20867) / 1
LCM(20849,20867) = 435056083 / 1
LCM(20849,20867) = 435056083

Least Common Multiple (LCM) of 20849 and 20867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20849 and 20867. First we will calculate the prime factors of 20849 and 20867.

Prime Factorization of 20849

Prime Factorization of 20867

Now multiplying the highest exponent prime factors to calculate the LCM of 20849 and 20867.

LCM(20849,20867) = 20849¹ × 7¹ × 11¹ × 271¹
LCM(20849,20867) = 435056083