Least Common Multiple of 5865 and 5870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5865 and 5870 the smallest integer that is 6885510 that is divisible by both numbers.

Least Common Multiple (LCM) of 5865 and 5870 is 6885510.

LCM(5865,5870) = 6885510

LCM of 5865 and 5870

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

LCM of:
and

Least Common Multiple of 5865 and 5870

LCM of 5865 and 5870 is 6885510

Least common multiple can be found by multiplying the highest exponent prime factors of 5865 and 5870. First we will calculate the prime factors of 5865 and 5870.

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

Prime Factorization of 5870


2 5870
5 2935
587 587
1

Prime factors of 5870 are 2, 5,587. Prime factorization of 5870 in exponential form is:

5870 = 21×51×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 5865 and 5870.

LCM(5865,5870) = 21×31×51×171×231×5871
LCM(5865,5870) = 6885510

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

Factors of 5870

List of positive integer factors of 5870 that divides 5870 without a remainder.

1, 2, 5, 10, 587, 1174, 2935, 5870

Least Common Multiple of 5865 and 5870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5865 and 5870, than apply into the LCM equation.

GCF(5865,5870) = 5
LCM(5865,5870) = ( 5865 × 5870) / 5
LCM(5865,5870) = 34427550 / 5
LCM(5865,5870) = 6885510

Properties of LCM 5865 and 5870

(i) The LCM of 5870 and 5865 is associative

LCM of 5865 and 5870 = LCM of 5870 and 5865

Related Least Common Multiples of 5865

Related Least Common Multiples of 5870

Frequently Asked Questions on LCM of 5865 and 5870

1. What is the LCM of 5865 and 5870?

Answer: LCM of 5865 and 5870 is 6885510.

2. 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.

3. What are the Factors of 5870?

Answer: Factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870. There are 8 integers that are factors of 5870. The greatest factor of 5870 is 5870.

4. How to Find the LCM of 5865 and 5870?

Answer:

Least Common Multiple of 5865 and 5870 = 6885510

Step 1: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

Step 2: Find the prime factorization of 5870

5870 = 2 x 5 x 587

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

LCM = 6885510 = 2 x 3 x 5 x 17 x 23 x 587

Step 4: Therefore, the least common multiple of 5865 and 5870 is 6885510.