Least Common Multiple of 5285 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 5285 and 5292 the smallest integer that is 3995460 that is divisible by both numbers.

Least Common Multiple (LCM) of 5285 and 5292 is 3995460.

LCM(5285,5292) = 3995460

LCM of 5285 and 5292

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

LCM of:
and

Least Common Multiple of 5285 and 5292

LCM of 5285 and 5292 is 3995460

Least common multiple can be found by multiplying the highest exponent prime factors of 5285 and 5292. First we will calculate the prime factors of 5285 and 5292.

Prime Factorization of 5285


5 5285
7 1057
151 151
1

Prime factors of 5285 are 5, 7,151. Prime factorization of 5285 in exponential form is:

5285 = 51×71×1511

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 5285 and 5292.

LCM(5285,5292) = 22×33×51×72×1511
LCM(5285,5292) = 3995460

Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1, 5, 7, 35, 151, 755, 1057, 5285

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 5285 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 5285 and 5292, than apply into the LCM equation.

GCF(5285,5292) = 7
LCM(5285,5292) = ( 5285 × 5292) / 7
LCM(5285,5292) = 27968220 / 7
LCM(5285,5292) = 3995460

Properties of LCM 5285 and 5292

(i) The LCM of 5292 and 5285 is associative

LCM of 5285 and 5292 = LCM of 5292 and 5285

Related Least Common Multiples of 5285

Related Least Common Multiples of 5292

Frequently Asked Questions on LCM of 5285 and 5292

1. What is the LCM of 5285 and 5292?

Answer: LCM of 5285 and 5292 is 3995460.

2. What are the Factors of 5285?

Answer: Factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285. There are 8 integers that are factors of 5285. The greatest factor of 5285 is 5285.

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 5285 and 5292?

Answer:

Least Common Multiple of 5285 and 5292 = 3995460

Step 1: Find the prime factorization of 5285

5285 = 5 x 7 x 151

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 = 3995460 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 151

Step 4: Therefore, the least common multiple of 5285 and 5292 is 3995460.