Least Common Multiple of 5860 and 5865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5860 and 5865 the smallest integer that is 6873780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5860 and 5865 is 6873780.

LCM(5860,5865) = 6873780

LCM of 5860 and 5865

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

LCM of:
and

Least Common Multiple of 5860 and 5865

LCM of 5860 and 5865 is 6873780

Least common multiple can be found by multiplying the highest exponent prime factors of 5860 and 5865. First we will calculate the prime factors of 5860 and 5865.

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

Prime Factorization of 5865


3 5865
5 1955
17 391
23 23
1

Prime factors of 5865 are 3, 5, 17,23. Prime factorization of 5865 in exponential form is:

5865 = 31×51×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5860 and 5865.

LCM(5860,5865) = 22×31×51×171×231×2931
LCM(5860,5865) = 6873780

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

Factors of 5865

List of positive integer factors of 5865 that divides 5865 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865

Least Common Multiple of 5860 and 5865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5860 and 5865, than apply into the LCM equation.

GCF(5860,5865) = 5
LCM(5860,5865) = ( 5860 × 5865) / 5
LCM(5860,5865) = 34368900 / 5
LCM(5860,5865) = 6873780

Properties of LCM 5860 and 5865

(i) The LCM of 5865 and 5860 is associative

LCM of 5860 and 5865 = LCM of 5865 and 5860

Related Least Common Multiples of 5860

Related Least Common Multiples of 5865

Frequently Asked Questions on LCM of 5860 and 5865

1. What is the LCM of 5860 and 5865?

Answer: LCM of 5860 and 5865 is 6873780.

2. 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.

3. What are the Factors of 5865?

Answer: Factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865. There are 16 integers that are factors of 5865. The greatest factor of 5865 is 5865.

4. How to Find the LCM of 5860 and 5865?

Answer:

Least Common Multiple of 5860 and 5865 = 6873780

Step 1: Find the prime factorization of 5860

5860 = 2 x 2 x 5 x 293

Step 2: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

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

LCM = 6873780 = 2 x 2 x 3 x 5 x 17 x 23 x 293

Step 4: Therefore, the least common multiple of 5860 and 5865 is 6873780.