Least Common Multiple of 5856 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 5856 and 5860 the smallest integer that is 8579040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5856 and 5860 is 8579040.

LCM(5856,5860) = 8579040

LCM of 5856 and 5860

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

LCM of:
and

Least Common Multiple of 5856 and 5860

LCM of 5856 and 5860 is 8579040

Least common multiple can be found by multiplying the highest exponent prime factors of 5856 and 5860. First we will calculate the prime factors of 5856 and 5860.

Prime Factorization of 5856


2 5856
2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 5856 are 2, 3,61. Prime factorization of 5856 in exponential form is:

5856 = 25×31×611

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 5856 and 5860.

LCM(5856,5860) = 25×31×51×611×2931
LCM(5856,5860) = 8579040

Factors of 5856

List of positive integer factors of 5856 that divides 5856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856

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 5856 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 5856 and 5860, than apply into the LCM equation.

GCF(5856,5860) = 4
LCM(5856,5860) = ( 5856 × 5860) / 4
LCM(5856,5860) = 34316160 / 4
LCM(5856,5860) = 8579040

Properties of LCM 5856 and 5860

(i) The LCM of 5860 and 5856 is associative

LCM of 5856 and 5860 = LCM of 5860 and 5856

Related Least Common Multiples of 5856

Related Least Common Multiples of 5860

Frequently Asked Questions on LCM of 5856 and 5860

1. What is the LCM of 5856 and 5860?

Answer: LCM of 5856 and 5860 is 8579040.

2. What are the Factors of 5856?

Answer: Factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856. There are 24 integers that are factors of 5856. The greatest factor of 5856 is 5856.

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 5856 and 5860?

Answer:

Least Common Multiple of 5856 and 5860 = 8579040

Step 1: Find the prime factorization of 5856

5856 = 2 x 2 x 2 x 2 x 2 x 3 x 61

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 = 8579040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 61 x 293

Step 4: Therefore, the least common multiple of 5856 and 5860 is 8579040.