What is the Least Common Multiple of 53136 and 53148?

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 53136 and 53148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53136 and 53148, than apply into the LCM equation.

GCF(53136,53148) = 12
LCM(53136,53148) = ( 53136 × 53148) / 12
LCM(53136,53148) = 2824072128 / 12
LCM(53136,53148) = 235339344

Least Common Multiple (LCM) of 53136 and 53148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53136 and 53148. First we will calculate the prime factors of 53136 and 53148.

Prime Factorization of 53136

Prime Factorization of 53148

Now multiplying the highest exponent prime factors to calculate the LCM of 53136 and 53148.

LCM(53136,53148) = 2⁴ × 3⁴ × 41¹ × 43¹ × 103¹
LCM(53136,53148) = 235339344