What is the Least Common Multiple of 5296 and 5301?

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 5296 and 5301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5296 and 5301, than apply into the LCM equation.

GCF(5296,5301) = 1
LCM(5296,5301) = ( 5296 × 5301) / 1
LCM(5296,5301) = 28074096 / 1
LCM(5296,5301) = 28074096

Least Common Multiple (LCM) of 5296 and 5301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5296 and 5301. First we will calculate the prime factors of 5296 and 5301.

Prime Factorization of 5296

Prime Factorization of 5301

Now multiplying the highest exponent prime factors to calculate the LCM of 5296 and 5301.

LCM(5296,5301) = 2⁴ × 331¹ × 3² × 19¹ × 31¹
LCM(5296,5301) = 28074096