What is the Least Common Multiple of 59175 and 59184?

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 59175 and 59184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59175 and 59184, than apply into the LCM equation.

GCF(59175,59184) = 9
LCM(59175,59184) = ( 59175 × 59184) / 9
LCM(59175,59184) = 3502213200 / 9
LCM(59175,59184) = 389134800

Least Common Multiple (LCM) of 59175 and 59184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59175 and 59184. First we will calculate the prime factors of 59175 and 59184.

Prime Factorization of 59175

Prime Factorization of 59184

Now multiplying the highest exponent prime factors to calculate the LCM of 59175 and 59184.

LCM(59175,59184) = 3³ × 5² × 263¹ × 2⁴ × 137¹
LCM(59175,59184) = 389134800