What is the Least Common Multiple of 23900 and 23904?

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 23900 and 23904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23900 and 23904, than apply into the LCM equation.

GCF(23900,23904) = 4
LCM(23900,23904) = ( 23900 × 23904) / 4
LCM(23900,23904) = 571305600 / 4
LCM(23900,23904) = 142826400

Least Common Multiple (LCM) of 23900 and 23904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23900 and 23904. First we will calculate the prime factors of 23900 and 23904.

Prime Factorization of 23900

Prime Factorization of 23904

Now multiplying the highest exponent prime factors to calculate the LCM of 23900 and 23904.

LCM(23900,23904) = 2⁵ × 5² × 239¹ × 3² × 83¹
LCM(23900,23904) = 142826400