What is the Least Common Multiple of 23896 and 23903?

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 23896 and 23903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23896 and 23903, than apply into the LCM equation.

GCF(23896,23903) = 1
LCM(23896,23903) = ( 23896 × 23903) / 1
LCM(23896,23903) = 571186088 / 1
LCM(23896,23903) = 571186088

Least Common Multiple (LCM) of 23896 and 23903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23896 and 23903. First we will calculate the prime factors of 23896 and 23903.

Prime Factorization of 23896

Prime Factorization of 23903

Now multiplying the highest exponent prime factors to calculate the LCM of 23896 and 23903.

LCM(23896,23903) = 2³ × 29¹ × 103¹ × 11¹ × 41¹ × 53¹
LCM(23896,23903) = 571186088