What is the Least Common Multiple of 20704 and 20713?

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 20704 and 20713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20704 and 20713, than apply into the LCM equation.

GCF(20704,20713) = 1
LCM(20704,20713) = ( 20704 × 20713) / 1
LCM(20704,20713) = 428841952 / 1
LCM(20704,20713) = 428841952

Least Common Multiple (LCM) of 20704 and 20713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20704 and 20713. First we will calculate the prime factors of 20704 and 20713.

Prime Factorization of 20704

Prime Factorization of 20713

Now multiplying the highest exponent prime factors to calculate the LCM of 20704 and 20713.

LCM(20704,20713) = 2⁵ × 647¹ × 7¹ × 11¹ × 269¹
LCM(20704,20713) = 428841952