Least Common Multiple of 5292 and 5297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5292 and 5297 the smallest integer that is 28031724 that is divisible by both numbers.

Least Common Multiple (LCM) of 5292 and 5297 is 28031724.

LCM(5292,5297) = 28031724

LCM of 5292 and 5297

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

LCM of:
and

Least Common Multiple of 5292 and 5297

LCM of 5292 and 5297 is 28031724

Least common multiple can be found by multiplying the highest exponent prime factors of 5292 and 5297. First we will calculate the prime factors of 5292 and 5297.

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

Prime Factorization of 5297


5297 5297
1

Prime factors of 5297 are 5297. Prime factorization of 5297 in exponential form is:

5297 = 52971

Now multiplying the highest exponent prime factors to calculate the LCM of 5292 and 5297.

LCM(5292,5297) = 22×33×72×52971
LCM(5292,5297) = 28031724

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

Factors of 5297

List of positive integer factors of 5297 that divides 5297 without a remainder.

1, 5297

Least Common Multiple of 5292 and 5297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5292 and 5297, than apply into the LCM equation.

GCF(5292,5297) = 1
LCM(5292,5297) = ( 5292 × 5297) / 1
LCM(5292,5297) = 28031724 / 1
LCM(5292,5297) = 28031724

Properties of LCM 5292 and 5297

(i) The LCM of 5297 and 5292 is associative

LCM of 5292 and 5297 = LCM of 5297 and 5292

Related Least Common Multiples of 5292

Related Least Common Multiples of 5297

Frequently Asked Questions on LCM of 5292 and 5297

1. What is the LCM of 5292 and 5297?

Answer: LCM of 5292 and 5297 is 28031724.

2. 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.

3. What are the Factors of 5297?

Answer: Factors of 5297 are 1, 5297. There are 2 integers that are factors of 5297. The greatest factor of 5297 is 5297.

4. How to Find the LCM of 5292 and 5297?

Answer:

Least Common Multiple of 5292 and 5297 = 28031724

Step 1: Find the prime factorization of 5292

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

Step 2: Find the prime factorization of 5297

5297 = 5297

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

LCM = 28031724 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 5297

Step 4: Therefore, the least common multiple of 5292 and 5297 is 28031724.