What is the Least Common Multiple of 20714 and 20724?

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 20714 and 20724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20714 and 20724, than apply into the LCM equation.

GCF(20714,20724) = 2
LCM(20714,20724) = ( 20714 × 20724) / 2
LCM(20714,20724) = 429276936 / 2
LCM(20714,20724) = 214638468

Least Common Multiple (LCM) of 20714 and 20724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20714 and 20724. First we will calculate the prime factors of 20714 and 20724.

Prime Factorization of 20714

Prime Factorization of 20724

Now multiplying the highest exponent prime factors to calculate the LCM of 20714 and 20724.

LCM(20714,20724) = 2² × 10357¹ × 3¹ × 11¹ × 157¹
LCM(20714,20724) = 214638468