What is the Least Common Multiple of 20683 and 20697?

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 20683 and 20697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20683 and 20697, than apply into the LCM equation.

GCF(20683,20697) = 1
LCM(20683,20697) = ( 20683 × 20697) / 1
LCM(20683,20697) = 428076051 / 1
LCM(20683,20697) = 428076051

Least Common Multiple (LCM) of 20683 and 20697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20683 and 20697. First we will calculate the prime factors of 20683 and 20697.

Prime Factorization of 20683

Prime Factorization of 20697

Now multiplying the highest exponent prime factors to calculate the LCM of 20683 and 20697.

LCM(20683,20697) = 13¹ × 37¹ × 43¹ × 3¹ × 6899¹
LCM(20683,20697) = 428076051