Least Common Multiple of 5860 and 5864

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 5864 the smallest integer that is 8590760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5860 and 5864 is 8590760.

LCM(5860,5864) = 8590760

LCM of 5860 and 5864

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

LCM of:
and

Least Common Multiple of 5860 and 5864

LCM of 5860 and 5864 is 8590760

Least common multiple can be found by multiplying the highest exponent prime factors of 5860 and 5864. First we will calculate the prime factors of 5860 and 5864.

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 5864


2 5864
2 2932
2 1466
733 733
1

Prime factors of 5864 are 2,733. Prime factorization of 5864 in exponential form is:

5864 = 23×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 5860 and 5864.

LCM(5860,5864) = 23×51×2931×7331
LCM(5860,5864) = 8590760

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 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1, 2, 4, 8, 733, 1466, 2932, 5864

Least Common Multiple of 5860 and 5864 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 5864, than apply into the LCM equation.

GCF(5860,5864) = 4
LCM(5860,5864) = ( 5860 × 5864) / 4
LCM(5860,5864) = 34363040 / 4
LCM(5860,5864) = 8590760

Properties of LCM 5860 and 5864

(i) The LCM of 5864 and 5860 is associative

LCM of 5860 and 5864 = LCM of 5864 and 5860

Related Least Common Multiples of 5860

Related Least Common Multiples of 5864

Frequently Asked Questions on LCM of 5860 and 5864

1. What is the LCM of 5860 and 5864?

Answer: LCM of 5860 and 5864 is 8590760.

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 5864?

Answer: Factors of 5864 are 1, 2, 4, 8, 733, 1466, 2932, 5864. There are 8 integers that are factors of 5864. The greatest factor of 5864 is 5864.

4. How to Find the LCM of 5860 and 5864?

Answer:

Least Common Multiple of 5860 and 5864 = 8590760

Step 1: Find the prime factorization of 5860

5860 = 2 x 2 x 5 x 293

Step 2: Find the prime factorization of 5864

5864 = 2 x 2 x 2 x 733

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

LCM = 8590760 = 2 x 2 x 2 x 5 x 293 x 733

Step 4: Therefore, the least common multiple of 5860 and 5864 is 8590760.