Least Common Multiple of 5290 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 5290 and 5292 the smallest integer that is 13997340 that is divisible by both numbers.

Least Common Multiple (LCM) of 5290 and 5292 is 13997340.

LCM(5290,5292) = 13997340

LCM of 5290 and 5292

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

LCM of:
and

Least Common Multiple of 5290 and 5292

LCM of 5290 and 5292 is 13997340

Least common multiple can be found by multiplying the highest exponent prime factors of 5290 and 5292. First we will calculate the prime factors of 5290 and 5292.

Prime Factorization of 5290


2 5290
5 2645
23 529
23 23
1

Prime factors of 5290 are 2, 5,23. Prime factorization of 5290 in exponential form is:

5290 = 21×51×232

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 5290 and 5292.

LCM(5290,5292) = 22×33×51×72×232
LCM(5290,5292) = 13997340

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

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 5290 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 5290 and 5292, than apply into the LCM equation.

GCF(5290,5292) = 2
LCM(5290,5292) = ( 5290 × 5292) / 2
LCM(5290,5292) = 27994680 / 2
LCM(5290,5292) = 13997340

Properties of LCM 5290 and 5292

(i) The LCM of 5292 and 5290 is associative

LCM of 5290 and 5292 = LCM of 5292 and 5290

Related Least Common Multiples of 5290

Related Least Common Multiples of 5292

Frequently Asked Questions on LCM of 5290 and 5292

1. What is the LCM of 5290 and 5292?

Answer: LCM of 5290 and 5292 is 13997340.

2. What are the Factors of 5290?

Answer: Factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290. There are 12 integers that are factors of 5290. The greatest factor of 5290 is 5290.

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 5290 and 5292?

Answer:

Least Common Multiple of 5290 and 5292 = 13997340

Step 1: Find the prime factorization of 5290

5290 = 2 x 5 x 23 x 23

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 = 13997340 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 23 x 23

Step 4: Therefore, the least common multiple of 5290 and 5292 is 13997340.