What is the Least Common Multiple of 23184 and 23197?

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 23184 and 23197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23184 and 23197, than apply into the LCM equation.

GCF(23184,23197) = 1
LCM(23184,23197) = ( 23184 × 23197) / 1
LCM(23184,23197) = 537799248 / 1
LCM(23184,23197) = 537799248

Least Common Multiple (LCM) of 23184 and 23197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23184 and 23197. First we will calculate the prime factors of 23184 and 23197.

Prime Factorization of 23184

Prime Factorization of 23197

Now multiplying the highest exponent prime factors to calculate the LCM of 23184 and 23197.

LCM(23184,23197) = 2⁴ × 3² × 7¹ × 23¹ × 23197¹
LCM(23184,23197) = 537799248