Least Common Multiple of 5852 and 5860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5852 and 5860 the smallest integer that is 8573180 that is divisible by both numbers.

Least Common Multiple (LCM) of 5852 and 5860 is 8573180.

LCM(5852,5860) = 8573180

LCM of 5852 and 5860

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

LCM of:
and

Least Common Multiple of 5852 and 5860

LCM of 5852 and 5860 is 8573180

Least common multiple can be found by multiplying the highest exponent prime factors of 5852 and 5860. First we will calculate the prime factors of 5852 and 5860.

Prime Factorization of 5852


2 5852
2 2926
7 1463
11 209
19 19
1

Prime factors of 5852 are 2, 7, 11,19. Prime factorization of 5852 in exponential form is:

5852 = 22×71×111×191

Prime Factorization of 5860


2 5860
2 2930
5 1465
293 293
1

Prime factors of 5860 are 2, 5,293. Prime factorization of 5860 in exponential form is:

5860 = 22×51×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 5852 and 5860.

LCM(5852,5860) = 22×51×71×111×191×2931
LCM(5852,5860) = 8573180

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852

Factors of 5860

List of positive integer factors of 5860 that divides 5860 without a remainder.

1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860

Least Common Multiple of 5852 and 5860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5852 and 5860, than apply into the LCM equation.

GCF(5852,5860) = 4
LCM(5852,5860) = ( 5852 × 5860) / 4
LCM(5852,5860) = 34292720 / 4
LCM(5852,5860) = 8573180

Properties of LCM 5852 and 5860

(i) The LCM of 5860 and 5852 is associative

LCM of 5852 and 5860 = LCM of 5860 and 5852

Related Least Common Multiples of 5852

Related Least Common Multiples of 5860

Frequently Asked Questions on LCM of 5852 and 5860

1. What is the LCM of 5852 and 5860?

Answer: LCM of 5852 and 5860 is 8573180.

2. What are the Factors of 5852?

Answer: Factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852. There are 24 integers that are factors of 5852. The greatest factor of 5852 is 5852.

3. What are the Factors of 5860?

Answer: Factors of 5860 are 1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860. There are 12 integers that are factors of 5860. The greatest factor of 5860 is 5860.

4. How to Find the LCM of 5852 and 5860?

Answer:

Least Common Multiple of 5852 and 5860 = 8573180

Step 1: Find the prime factorization of 5852

5852 = 2 x 2 x 7 x 11 x 19

Step 2: Find the prime factorization of 5860

5860 = 2 x 2 x 5 x 293

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

LCM = 8573180 = 2 x 2 x 5 x 7 x 11 x 19 x 293

Step 4: Therefore, the least common multiple of 5852 and 5860 is 8573180.