What is the Least Common Multiple of 20705 and 20723?

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 20705 and 20723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20705 and 20723, than apply into the LCM equation.

GCF(20705,20723) = 1
LCM(20705,20723) = ( 20705 × 20723) / 1
LCM(20705,20723) = 429069715 / 1
LCM(20705,20723) = 429069715

Least Common Multiple (LCM) of 20705 and 20723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20705 and 20723. First we will calculate the prime factors of 20705 and 20723.

Prime Factorization of 20705

Prime Factorization of 20723

Now multiplying the highest exponent prime factors to calculate the LCM of 20705 and 20723.

LCM(20705,20723) = 5¹ × 41¹ × 101¹ × 17¹ × 23¹ × 53¹
LCM(20705,20723) = 429069715