What is the Least Common Multiple of 23696 and 23710?

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 23710 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 23710, than apply into the LCM equation.

GCF(23696,23710) = 2
LCM(23696,23710) = ( 23696 × 23710) / 2
LCM(23696,23710) = 561832160 / 2
LCM(23696,23710) = 280916080

Least Common Multiple (LCM) of 23696 and 23710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23696 and 23710. First we will calculate the prime factors of 23696 and 23710.

Prime Factorization of 23696

Prime Factorization of 23710

Now multiplying the highest exponent prime factors to calculate the LCM of 23696 and 23710.

LCM(23696,23710) = 2⁴ × 1481¹ × 5¹ × 2371¹
LCM(23696,23710) = 280916080