What is the Least Common Multiple of 23187 and 23204?

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 23187 and 23204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23187 and 23204, than apply into the LCM equation.

GCF(23187,23204) = 1
LCM(23187,23204) = ( 23187 × 23204) / 1
LCM(23187,23204) = 538031148 / 1
LCM(23187,23204) = 538031148

Least Common Multiple (LCM) of 23187 and 23204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23187 and 23204. First we will calculate the prime factors of 23187 and 23204.

Prime Factorization of 23187

Prime Factorization of 23204

Now multiplying the highest exponent prime factors to calculate the LCM of 23187 and 23204.

LCM(23187,23204) = 3¹ × 59¹ × 131¹ × 2² × 5801¹
LCM(23187,23204) = 538031148