What is the Least Common Multiple of 23175 and 23184?

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 23175 and 23184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23175 and 23184, than apply into the LCM equation.

GCF(23175,23184) = 9
LCM(23175,23184) = ( 23175 × 23184) / 9
LCM(23175,23184) = 537289200 / 9
LCM(23175,23184) = 59698800

Least Common Multiple (LCM) of 23175 and 23184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23175 and 23184. First we will calculate the prime factors of 23175 and 23184.

Prime Factorization of 23175

Prime Factorization of 23184

Now multiplying the highest exponent prime factors to calculate the LCM of 23175 and 23184.

LCM(23175,23184) = 3² × 5² × 103¹ × 2⁴ × 7¹ × 23¹
LCM(23175,23184) = 59698800