Least Common Multiple of 5267 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 5267 and 5274 the smallest integer that is 27778158 that is divisible by both numbers.

Least Common Multiple (LCM) of 5267 and 5274 is 27778158.

LCM(5267,5274) = 27778158

LCM of 5267 and 5274

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

LCM of:
and

Least Common Multiple of 5267 and 5274

LCM of 5267 and 5274 is 27778158

Least common multiple can be found by multiplying the highest exponent prime factors of 5267 and 5274. First we will calculate the prime factors of 5267 and 5274.

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 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 5267 and 5274.

LCM(5267,5274) = 21×32×231×2291×2931
LCM(5267,5274) = 27778158

Factors of 5267

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

1, 23, 229, 5267

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 5267 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 5267 and 5274, than apply into the LCM equation.

GCF(5267,5274) = 1
LCM(5267,5274) = ( 5267 × 5274) / 1
LCM(5267,5274) = 27778158 / 1
LCM(5267,5274) = 27778158

Properties of LCM 5267 and 5274

(i) The LCM of 5274 and 5267 is associative

LCM of 5267 and 5274 = LCM of 5274 and 5267

Related Least Common Multiples of 5267

Related Least Common Multiples of 5274

Frequently Asked Questions on LCM of 5267 and 5274

1. What is the LCM of 5267 and 5274?

Answer: LCM of 5267 and 5274 is 27778158.

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 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 5267 and 5274?

Answer:

Least Common Multiple of 5267 and 5274 = 27778158

Step 1: Find the prime factorization of 5267

5267 = 23 x 229

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 = 27778158 = 2 x 3 x 3 x 23 x 229 x 293

Step 4: Therefore, the least common multiple of 5267 and 5274 is 27778158.