Least Common Multiple of 5284 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 5284 and 5292 the smallest integer that is 6990732 that is divisible by both numbers.

Least Common Multiple (LCM) of 5284 and 5292 is 6990732.

LCM(5284,5292) = 6990732

LCM of 5284 and 5292

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

LCM of:
and

Least Common Multiple of 5284 and 5292

LCM of 5284 and 5292 is 6990732

Least common multiple can be found by multiplying the highest exponent prime factors of 5284 and 5292. First we will calculate the prime factors of 5284 and 5292.

Prime Factorization of 5284


2 5284
2 2642
1321 1321
1

Prime factors of 5284 are 2,1321. Prime factorization of 5284 in exponential form is:

5284 = 22×13211

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 5284 and 5292.

LCM(5284,5292) = 22×33×72×13211
LCM(5284,5292) = 6990732

Factors of 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1, 2, 4, 1321, 2642, 5284

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 5284 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 5284 and 5292, than apply into the LCM equation.

GCF(5284,5292) = 4
LCM(5284,5292) = ( 5284 × 5292) / 4
LCM(5284,5292) = 27962928 / 4
LCM(5284,5292) = 6990732

Properties of LCM 5284 and 5292

(i) The LCM of 5292 and 5284 is associative

LCM of 5284 and 5292 = LCM of 5292 and 5284

Related Least Common Multiples of 5284

Related Least Common Multiples of 5292

Frequently Asked Questions on LCM of 5284 and 5292

1. What is the LCM of 5284 and 5292?

Answer: LCM of 5284 and 5292 is 6990732.

2. What are the Factors of 5284?

Answer: Factors of 5284 are 1, 2, 4, 1321, 2642, 5284. There are 6 integers that are factors of 5284. The greatest factor of 5284 is 5284.

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 5284 and 5292?

Answer:

Least Common Multiple of 5284 and 5292 = 6990732

Step 1: Find the prime factorization of 5284

5284 = 2 x 2 x 1321

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 = 6990732 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 1321

Step 4: Therefore, the least common multiple of 5284 and 5292 is 6990732.