What is the Least Common Multiple of 23716 and 23736?

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 23716 and 23736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23716 and 23736, than apply into the LCM equation.

GCF(23716,23736) = 4
LCM(23716,23736) = ( 23716 × 23736) / 4
LCM(23716,23736) = 562922976 / 4
LCM(23716,23736) = 140730744

Least Common Multiple (LCM) of 23716 and 23736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23716 and 23736. First we will calculate the prime factors of 23716 and 23736.

Prime Factorization of 23716

Prime Factorization of 23736

Now multiplying the highest exponent prime factors to calculate the LCM of 23716 and 23736.

LCM(23716,23736) = 2³ × 7² × 11² × 3¹ × 23¹ × 43¹
LCM(23716,23736) = 140730744