What is the Least Common Multiple of 20700 and 20714?

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 20714 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 20714, than apply into the LCM equation.

GCF(20700,20714) = 2
LCM(20700,20714) = ( 20700 × 20714) / 2
LCM(20700,20714) = 428779800 / 2
LCM(20700,20714) = 214389900

Least Common Multiple (LCM) of 20700 and 20714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20700 and 20714. First we will calculate the prime factors of 20700 and 20714.

Prime Factorization of 20700

Prime Factorization of 20714

Now multiplying the highest exponent prime factors to calculate the LCM of 20700 and 20714.

LCM(20700,20714) = 2² × 3² × 5² × 23¹ × 10357¹
LCM(20700,20714) = 214389900