Least Common Multiple of 5267 and 5275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5267 and 5275 the smallest integer that is 27783425 that is divisible by both numbers.

Least Common Multiple (LCM) of 5267 and 5275 is 27783425.

LCM(5267,5275) = 27783425

LCM of 5267 and 5275

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5267 and 5275

LCM of 5267 and 5275 is 27783425

Least common multiple can be found by multiplying the highest exponent prime factors of 5267 and 5275. First we will calculate the prime factors of 5267 and 5275.

Prime Factorization of 5267


23 5267
229 229
1

Prime factors of 5267 are 23,229. Prime factorization of 5267 in exponential form is:

5267 = 231×2291

Prime Factorization of 5275


5 5275
5 1055
211 211
1

Prime factors of 5275 are 5,211. Prime factorization of 5275 in exponential form is:

5275 = 52×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5267 and 5275.

LCM(5267,5275) = 52×231×2111×2291
LCM(5267,5275) = 27783425

Factors of 5267

List of positive integer factors of 5267 that divides 5267 without a remainder.

1, 23, 229, 5267

Factors of 5275

List of positive integer factors of 5275 that divides 5275 without a remainder.

1, 5, 25, 211, 1055, 5275

Least Common Multiple of 5267 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 5267 and 5275, than apply into the LCM equation.

GCF(5267,5275) = 1
LCM(5267,5275) = ( 5267 × 5275) / 1
LCM(5267,5275) = 27783425 / 1
LCM(5267,5275) = 27783425

Properties of LCM 5267 and 5275

(i) The LCM of 5275 and 5267 is associative

LCM of 5267 and 5275 = LCM of 5275 and 5267

Related Least Common Multiples of 5267

Related Least Common Multiples of 5275

Frequently Asked Questions on LCM of 5267 and 5275

1. What is the LCM of 5267 and 5275?

Answer: LCM of 5267 and 5275 is 27783425.

2. What are the Factors of 5267?

Answer: Factors of 5267 are 1, 23, 229, 5267. There are 4 integers that are factors of 5267. The greatest factor of 5267 is 5267.

3. What are the Factors of 5275?

Answer: Factors of 5275 are 1, 5, 25, 211, 1055, 5275. There are 6 integers that are factors of 5275. The greatest factor of 5275 is 5275.

4. How to Find the LCM of 5267 and 5275?

Answer:

Least Common Multiple of 5267 and 5275 = 27783425

Step 1: Find the prime factorization of 5267

5267 = 23 x 229

Step 2: Find the prime factorization of 5275

5275 = 5 x 5 x 211

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 27783425 = 5 x 5 x 23 x 211 x 229

Step 4: Therefore, the least common multiple of 5267 and 5275 is 27783425.