What is the Least Common Multiple of 53184 and 53196?

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 53196 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 53196, than apply into the LCM equation.

GCF(53184,53196) = 12
LCM(53184,53196) = ( 53184 × 53196) / 12
LCM(53184,53196) = 2829176064 / 12
LCM(53184,53196) = 235764672

Least Common Multiple (LCM) of 53184 and 53196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53184 and 53196. First we will calculate the prime factors of 53184 and 53196.

Prime Factorization of 53184

Prime Factorization of 53196

Now multiplying the highest exponent prime factors to calculate the LCM of 53184 and 53196.

LCM(53184,53196) = 2⁶ × 3¹ × 277¹ × 11¹ × 13¹ × 31¹
LCM(53184,53196) = 235764672