Least Common Multiple of 5269 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 5269 and 5275 the smallest integer that is 27793975 that is divisible by both numbers.

Least Common Multiple (LCM) of 5269 and 5275 is 27793975.

LCM(5269,5275) = 27793975

LCM of 5269 and 5275

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

LCM of:
and

Least Common Multiple of 5269 and 5275

LCM of 5269 and 5275 is 27793975

Least common multiple can be found by multiplying the highest exponent prime factors of 5269 and 5275. First we will calculate the prime factors of 5269 and 5275.

Prime Factorization of 5269


11 5269
479 479
1

Prime factors of 5269 are 11,479. Prime factorization of 5269 in exponential form is:

5269 = 111×4791

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 5269 and 5275.

LCM(5269,5275) = 52×111×2111×4791
LCM(5269,5275) = 27793975

Factors of 5269

List of positive integer factors of 5269 that divides 5269 without a remainder.

1, 11, 479, 5269

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 5269 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 5269 and 5275, than apply into the LCM equation.

GCF(5269,5275) = 1
LCM(5269,5275) = ( 5269 × 5275) / 1
LCM(5269,5275) = 27793975 / 1
LCM(5269,5275) = 27793975

Properties of LCM 5269 and 5275

(i) The LCM of 5275 and 5269 is associative

LCM of 5269 and 5275 = LCM of 5275 and 5269

Related Least Common Multiples of 5269

Related Least Common Multiples of 5275

Frequently Asked Questions on LCM of 5269 and 5275

1. What is the LCM of 5269 and 5275?

Answer: LCM of 5269 and 5275 is 27793975.

2. What are the Factors of 5269?

Answer: Factors of 5269 are 1, 11, 479, 5269. There are 4 integers that are factors of 5269. The greatest factor of 5269 is 5269.

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 5269 and 5275?

Answer:

Least Common Multiple of 5269 and 5275 = 27793975

Step 1: Find the prime factorization of 5269

5269 = 11 x 479

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 = 27793975 = 5 x 5 x 11 x 211 x 479

Step 4: Therefore, the least common multiple of 5269 and 5275 is 27793975.