Least Common Multiple of 5286 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 5286 and 5292 the smallest integer that is 4662252 that is divisible by both numbers.

Least Common Multiple (LCM) of 5286 and 5292 is 4662252.

LCM(5286,5292) = 4662252

LCM of 5286 and 5292

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

LCM of:
and

Least Common Multiple of 5286 and 5292

LCM of 5286 and 5292 is 4662252

Least common multiple can be found by multiplying the highest exponent prime factors of 5286 and 5292. First we will calculate the prime factors of 5286 and 5292.

Prime Factorization of 5286


2 5286
3 2643
881 881
1

Prime factors of 5286 are 2, 3,881. Prime factorization of 5286 in exponential form is:

5286 = 21×31×8811

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 5286 and 5292.

LCM(5286,5292) = 22×33×72×8811
LCM(5286,5292) = 4662252

Factors of 5286

List of positive integer factors of 5286 that divides 5286 without a remainder.

1, 2, 3, 6, 881, 1762, 2643, 5286

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 5286 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 5286 and 5292, than apply into the LCM equation.

GCF(5286,5292) = 6
LCM(5286,5292) = ( 5286 × 5292) / 6
LCM(5286,5292) = 27973512 / 6
LCM(5286,5292) = 4662252

Properties of LCM 5286 and 5292

(i) The LCM of 5292 and 5286 is associative

LCM of 5286 and 5292 = LCM of 5292 and 5286

Related Least Common Multiples of 5286

Related Least Common Multiples of 5292

Frequently Asked Questions on LCM of 5286 and 5292

1. What is the LCM of 5286 and 5292?

Answer: LCM of 5286 and 5292 is 4662252.

2. What are the Factors of 5286?

Answer: Factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286. There are 8 integers that are factors of 5286. The greatest factor of 5286 is 5286.

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 5286 and 5292?

Answer:

Least Common Multiple of 5286 and 5292 = 4662252

Step 1: Find the prime factorization of 5286

5286 = 2 x 3 x 881

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 = 4662252 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 881

Step 4: Therefore, the least common multiple of 5286 and 5292 is 4662252.