Least Common Multiple of 5855 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 5855 and 5860 the smallest integer that is 6862060 that is divisible by both numbers.

Least Common Multiple (LCM) of 5855 and 5860 is 6862060.

LCM(5855,5860) = 6862060

LCM of 5855 and 5860

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

LCM of:
and

Least Common Multiple of 5855 and 5860

LCM of 5855 and 5860 is 6862060

Least common multiple can be found by multiplying the highest exponent prime factors of 5855 and 5860. First we will calculate the prime factors of 5855 and 5860.

Prime Factorization of 5855


5 5855
1171 1171
1

Prime factors of 5855 are 5,1171. Prime factorization of 5855 in exponential form is:

5855 = 51×11711

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 5855 and 5860.

LCM(5855,5860) = 22×51×2931×11711
LCM(5855,5860) = 6862060

Factors of 5855

List of positive integer factors of 5855 that divides 5855 without a remainder.

1, 5, 1171, 5855

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 5855 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 5855 and 5860, than apply into the LCM equation.

GCF(5855,5860) = 5
LCM(5855,5860) = ( 5855 × 5860) / 5
LCM(5855,5860) = 34310300 / 5
LCM(5855,5860) = 6862060

Properties of LCM 5855 and 5860

(i) The LCM of 5860 and 5855 is associative

LCM of 5855 and 5860 = LCM of 5860 and 5855

Related Least Common Multiples of 5855

Related Least Common Multiples of 5860

Frequently Asked Questions on LCM of 5855 and 5860

1. What is the LCM of 5855 and 5860?

Answer: LCM of 5855 and 5860 is 6862060.

2. What are the Factors of 5855?

Answer: Factors of 5855 are 1, 5, 1171, 5855. There are 4 integers that are factors of 5855. The greatest factor of 5855 is 5855.

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 5855 and 5860?

Answer:

Least Common Multiple of 5855 and 5860 = 6862060

Step 1: Find the prime factorization of 5855

5855 = 5 x 1171

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 = 6862060 = 2 x 2 x 5 x 293 x 1171

Step 4: Therefore, the least common multiple of 5855 and 5860 is 6862060.