What is the Least Common Multiple of 23696 and 23705?

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 23696 and 23705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23696 and 23705, than apply into the LCM equation.

GCF(23696,23705) = 1
LCM(23696,23705) = ( 23696 × 23705) / 1
LCM(23696,23705) = 561713680 / 1
LCM(23696,23705) = 561713680

Least Common Multiple (LCM) of 23696 and 23705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23696 and 23705. First we will calculate the prime factors of 23696 and 23705.

Prime Factorization of 23696

Prime Factorization of 23705

Now multiplying the highest exponent prime factors to calculate the LCM of 23696 and 23705.

LCM(23696,23705) = 2⁴ × 1481¹ × 5¹ × 11¹ × 431¹
LCM(23696,23705) = 561713680