Least Common Multiple of 5269 and 5274

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 5274 the smallest integer that is 27788706 that is divisible by both numbers.

Least Common Multiple (LCM) of 5269 and 5274 is 27788706.

LCM(5269,5274) = 27788706

LCM of 5269 and 5274

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

LCM of:
and

Least Common Multiple of 5269 and 5274

LCM of 5269 and 5274 is 27788706

Least common multiple can be found by multiplying the highest exponent prime factors of 5269 and 5274. First we will calculate the prime factors of 5269 and 5274.

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 5274


2 5274
3 2637
3 879
293 293
1

Prime factors of 5274 are 2, 3,293. Prime factorization of 5274 in exponential form is:

5274 = 21×32×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 5269 and 5274.

LCM(5269,5274) = 21×32×111×2931×4791
LCM(5269,5274) = 27788706

Factors of 5269

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

1, 11, 479, 5269

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274

Least Common Multiple of 5269 and 5274 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 5274, than apply into the LCM equation.

GCF(5269,5274) = 1
LCM(5269,5274) = ( 5269 × 5274) / 1
LCM(5269,5274) = 27788706 / 1
LCM(5269,5274) = 27788706

Properties of LCM 5269 and 5274

(i) The LCM of 5274 and 5269 is associative

LCM of 5269 and 5274 = LCM of 5274 and 5269

Related Least Common Multiples of 5269

Related Least Common Multiples of 5274

Frequently Asked Questions on LCM of 5269 and 5274

1. What is the LCM of 5269 and 5274?

Answer: LCM of 5269 and 5274 is 27788706.

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 5274?

Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.

4. How to Find the LCM of 5269 and 5274?

Answer:

Least Common Multiple of 5269 and 5274 = 27788706

Step 1: Find the prime factorization of 5269

5269 = 11 x 479

Step 2: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

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

LCM = 27788706 = 2 x 3 x 3 x 11 x 293 x 479

Step 4: Therefore, the least common multiple of 5269 and 5274 is 27788706.