Least Common Multiple of 5292 and 5299

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 5299 the smallest integer that is 4006044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5292 and 5299 is 4006044.

LCM(5292,5299) = 4006044

LCM of 5292 and 5299

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

LCM of:
and

Least Common Multiple of 5292 and 5299

LCM of 5292 and 5299 is 4006044

Least common multiple can be found by multiplying the highest exponent prime factors of 5292 and 5299. First we will calculate the prime factors of 5292 and 5299.

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 5299


7 5299
757 757
1

Prime factors of 5299 are 7,757. Prime factorization of 5299 in exponential form is:

5299 = 71×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 5292 and 5299.

LCM(5292,5299) = 22×33×72×7571
LCM(5292,5299) = 4006044

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 5299

List of positive integer factors of 5299 that divides 5299 without a remainder.

1, 7, 757, 5299

Least Common Multiple of 5292 and 5299 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 5299, than apply into the LCM equation.

GCF(5292,5299) = 7
LCM(5292,5299) = ( 5292 × 5299) / 7
LCM(5292,5299) = 28042308 / 7
LCM(5292,5299) = 4006044

Properties of LCM 5292 and 5299

(i) The LCM of 5299 and 5292 is associative

LCM of 5292 and 5299 = LCM of 5299 and 5292

Related Least Common Multiples of 5292

Related Least Common Multiples of 5299

Frequently Asked Questions on LCM of 5292 and 5299

1. What is the LCM of 5292 and 5299?

Answer: LCM of 5292 and 5299 is 4006044.

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 5299?

Answer: Factors of 5299 are 1, 7, 757, 5299. There are 4 integers that are factors of 5299. The greatest factor of 5299 is 5299.

4. How to Find the LCM of 5292 and 5299?

Answer:

Least Common Multiple of 5292 and 5299 = 4006044

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 5299

5299 = 7 x 757

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

LCM = 4006044 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 757

Step 4: Therefore, the least common multiple of 5292 and 5299 is 4006044.