What is the Least Common Multiple of 23705 and 23724?

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 23705 and 23724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23705 and 23724, than apply into the LCM equation.

GCF(23705,23724) = 1
LCM(23705,23724) = ( 23705 × 23724) / 1
LCM(23705,23724) = 562377420 / 1
LCM(23705,23724) = 562377420

Least Common Multiple (LCM) of 23705 and 23724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23705 and 23724. First we will calculate the prime factors of 23705 and 23724.

Prime Factorization of 23705

Prime Factorization of 23724

Now multiplying the highest exponent prime factors to calculate the LCM of 23705 and 23724.

LCM(23705,23724) = 5¹ × 11¹ × 431¹ × 2² × 3² × 659¹
LCM(23705,23724) = 562377420