What is the Least Common Multiple of 20658 and 20669?

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 20658 and 20669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20658 and 20669, than apply into the LCM equation.

GCF(20658,20669) = 11
LCM(20658,20669) = ( 20658 × 20669) / 11
LCM(20658,20669) = 426980202 / 11
LCM(20658,20669) = 38816382

Least Common Multiple (LCM) of 20658 and 20669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20658 and 20669. First we will calculate the prime factors of 20658 and 20669.

Prime Factorization of 20658

Prime Factorization of 20669

Now multiplying the highest exponent prime factors to calculate the LCM of 20658 and 20669.

LCM(20658,20669) = 2¹ × 3¹ × 11¹ × 313¹ × 1879¹
LCM(20658,20669) = 38816382