What is the Least Common Multiple of 20700 and 20704?

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 20700 and 20704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20700 and 20704, than apply into the LCM equation.

GCF(20700,20704) = 4
LCM(20700,20704) = ( 20700 × 20704) / 4
LCM(20700,20704) = 428572800 / 4
LCM(20700,20704) = 107143200

Least Common Multiple (LCM) of 20700 and 20704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20700 and 20704. First we will calculate the prime factors of 20700 and 20704.

Prime Factorization of 20700

Prime Factorization of 20704

Now multiplying the highest exponent prime factors to calculate the LCM of 20700 and 20704.

LCM(20700,20704) = 2⁵ × 3² × 5² × 23¹ × 647¹
LCM(20700,20704) = 107143200