What is the Least Common Multiple of 20685 and 20700?

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 20685 and 20700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20685 and 20700, than apply into the LCM equation.

GCF(20685,20700) = 15
LCM(20685,20700) = ( 20685 × 20700) / 15
LCM(20685,20700) = 428179500 / 15
LCM(20685,20700) = 28545300

Least Common Multiple (LCM) of 20685 and 20700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20685 and 20700. First we will calculate the prime factors of 20685 and 20700.

Prime Factorization of 20685

Prime Factorization of 20700

Now multiplying the highest exponent prime factors to calculate the LCM of 20685 and 20700.

LCM(20685,20700) = 3² × 5² × 7¹ × 197¹ × 2² × 23¹
LCM(20685,20700) = 28545300