What is the Least Common Multiple of 53184 and 53192?

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 53184 and 53192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53184 and 53192, than apply into the LCM equation.

GCF(53184,53192) = 8
LCM(53184,53192) = ( 53184 × 53192) / 8
LCM(53184,53192) = 2828963328 / 8
LCM(53184,53192) = 353620416

Least Common Multiple (LCM) of 53184 and 53192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53184 and 53192. First we will calculate the prime factors of 53184 and 53192.

Prime Factorization of 53184

Prime Factorization of 53192

Now multiplying the highest exponent prime factors to calculate the LCM of 53184 and 53192.

LCM(53184,53192) = 2⁶ × 3¹ × 277¹ × 61¹ × 109¹
LCM(53184,53192) = 353620416