What is the Least Common Multiple of 5260 and 5275?

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 5260 and 5275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5260 and 5275, than apply into the LCM equation.

GCF(5260,5275) = 5
LCM(5260,5275) = ( 5260 × 5275) / 5
LCM(5260,5275) = 27746500 / 5
LCM(5260,5275) = 5549300

Least Common Multiple (LCM) of 5260 and 5275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5260 and 5275. First we will calculate the prime factors of 5260 and 5275.

Prime Factorization of 5260

Prime Factorization of 5275

Now multiplying the highest exponent prime factors to calculate the LCM of 5260 and 5275.

LCM(5260,5275) = 2² × 5² × 263¹ × 211¹
LCM(5260,5275) = 5549300