What is the Least Common Multiple of 20703 and 20721?

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 20703 and 20721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20703 and 20721, than apply into the LCM equation.

GCF(20703,20721) = 3
LCM(20703,20721) = ( 20703 × 20721) / 3
LCM(20703,20721) = 428986863 / 3
LCM(20703,20721) = 142995621

Least Common Multiple (LCM) of 20703 and 20721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20703 and 20721. First we will calculate the prime factors of 20703 and 20721.

Prime Factorization of 20703

Prime Factorization of 20721

Now multiplying the highest exponent prime factors to calculate the LCM of 20703 and 20721.

LCM(20703,20721) = 3¹ × 67¹ × 103¹ × 6907¹
LCM(20703,20721) = 142995621