Least Common Multiple of 5292 and 5293

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 5293 the smallest integer that is 28010556 that is divisible by both numbers.

Least Common Multiple (LCM) of 5292 and 5293 is 28010556.

LCM(5292,5293) = 28010556

LCM of 5292 and 5293

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

LCM of:
and

Least Common Multiple of 5292 and 5293

LCM of 5292 and 5293 is 28010556

Least common multiple can be found by multiplying the highest exponent prime factors of 5292 and 5293. First we will calculate the prime factors of 5292 and 5293.

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 5293


67 5293
79 79
1

Prime factors of 5293 are 67,79. Prime factorization of 5293 in exponential form is:

5293 = 671×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5292 and 5293.

LCM(5292,5293) = 22×33×72×671×791
LCM(5292,5293) = 28010556

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 5293

List of positive integer factors of 5293 that divides 5293 without a remainder.

1, 67, 79, 5293

Least Common Multiple of 5292 and 5293 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 5293, than apply into the LCM equation.

GCF(5292,5293) = 1
LCM(5292,5293) = ( 5292 × 5293) / 1
LCM(5292,5293) = 28010556 / 1
LCM(5292,5293) = 28010556

Properties of LCM 5292 and 5293

(i) The LCM of 5293 and 5292 is associative

LCM of 5292 and 5293 = LCM of 5293 and 5292

Related Least Common Multiples of 5292

Related Least Common Multiples of 5293

Frequently Asked Questions on LCM of 5292 and 5293

1. What is the LCM of 5292 and 5293?

Answer: LCM of 5292 and 5293 is 28010556.

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 5293?

Answer: Factors of 5293 are 1, 67, 79, 5293. There are 4 integers that are factors of 5293. The greatest factor of 5293 is 5293.

4. How to Find the LCM of 5292 and 5293?

Answer:

Least Common Multiple of 5292 and 5293 = 28010556

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 5293

5293 = 67 x 79

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

LCM = 28010556 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 67 x 79

Step 4: Therefore, the least common multiple of 5292 and 5293 is 28010556.