What is the Least Common Multiple of 17705 and 17723?

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 17705 and 17723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17705 and 17723, than apply into the LCM equation.

GCF(17705,17723) = 1
LCM(17705,17723) = ( 17705 × 17723) / 1
LCM(17705,17723) = 313785715 / 1
LCM(17705,17723) = 313785715

Least Common Multiple (LCM) of 17705 and 17723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17705 and 17723. First we will calculate the prime factors of 17705 and 17723.

Prime Factorization of 17705

Prime Factorization of 17723

Now multiplying the highest exponent prime factors to calculate the LCM of 17705 and 17723.

LCM(17705,17723) = 5¹ × 3541¹ × 37¹ × 479¹
LCM(17705,17723) = 313785715