What is the Least Common Multiple of 59184 and 59192?

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 59184 and 59192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59184 and 59192, than apply into the LCM equation.

GCF(59184,59192) = 8
LCM(59184,59192) = ( 59184 × 59192) / 8
LCM(59184,59192) = 3503219328 / 8
LCM(59184,59192) = 437902416

Least Common Multiple (LCM) of 59184 and 59192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59184 and 59192. First we will calculate the prime factors of 59184 and 59192.

Prime Factorization of 59184

Prime Factorization of 59192

Now multiplying the highest exponent prime factors to calculate the LCM of 59184 and 59192.

LCM(59184,59192) = 2⁴ × 3³ × 137¹ × 7² × 151¹
LCM(59184,59192) = 437902416