Least Common Multiple of 5287 and 5292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5287 and 5292 the smallest integer that is 27978804 that is divisible by both numbers.

Least Common Multiple (LCM) of 5287 and 5292 is 27978804.

LCM(5287,5292) = 27978804

LCM of 5287 and 5292

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

LCM of:
and

Least Common Multiple of 5287 and 5292

LCM of 5287 and 5292 is 27978804

Least common multiple can be found by multiplying the highest exponent prime factors of 5287 and 5292. First we will calculate the prime factors of 5287 and 5292.

Prime Factorization of 5287


17 5287
311 311
1

Prime factors of 5287 are 17,311. Prime factorization of 5287 in exponential form is:

5287 = 171×3111

Prime Factorization of 5292


2 5292
2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 5292 are 2, 3,7. Prime factorization of 5292 in exponential form is:

5292 = 22×33×72

Now multiplying the highest exponent prime factors to calculate the LCM of 5287 and 5292.

LCM(5287,5292) = 22×33×72×171×3111
LCM(5287,5292) = 27978804

Factors of 5287

List of positive integer factors of 5287 that divides 5287 without a remainder.

1, 17, 311, 5287

Factors of 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292

Least Common Multiple of 5287 and 5292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5287 and 5292, than apply into the LCM equation.

GCF(5287,5292) = 1
LCM(5287,5292) = ( 5287 × 5292) / 1
LCM(5287,5292) = 27978804 / 1
LCM(5287,5292) = 27978804

Properties of LCM 5287 and 5292

(i) The LCM of 5292 and 5287 is associative

LCM of 5287 and 5292 = LCM of 5292 and 5287

Related Least Common Multiples of 5287

Related Least Common Multiples of 5292

Frequently Asked Questions on LCM of 5287 and 5292

1. What is the LCM of 5287 and 5292?

Answer: LCM of 5287 and 5292 is 27978804.

2. What are the Factors of 5287?

Answer: Factors of 5287 are 1, 17, 311, 5287. There are 4 integers that are factors of 5287. The greatest factor of 5287 is 5287.

3. What are the Factors of 5292?

Answer: Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292. There are 36 integers that are factors of 5292. The greatest factor of 5292 is 5292.

4. How to Find the LCM of 5287 and 5292?

Answer:

Least Common Multiple of 5287 and 5292 = 27978804

Step 1: Find the prime factorization of 5287

5287 = 17 x 311

Step 2: Find the prime factorization of 5292

5292 = 2 x 2 x 3 x 3 x 3 x 7 x 7

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

LCM = 27978804 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 17 x 311

Step 4: Therefore, the least common multiple of 5287 and 5292 is 27978804.