Least Common Multiple of 5862 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 5862 and 5870 the smallest integer that is 17204970 that is divisible by both numbers.

Least Common Multiple (LCM) of 5862 and 5870 is 17204970.

LCM(5862,5870) = 17204970

LCM of 5862 and 5870

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

LCM of:
and

Least Common Multiple of 5862 and 5870

LCM of 5862 and 5870 is 17204970

Least common multiple can be found by multiplying the highest exponent prime factors of 5862 and 5870. First we will calculate the prime factors of 5862 and 5870.

Prime Factorization of 5862


2 5862
3 2931
977 977
1

Prime factors of 5862 are 2, 3,977. Prime factorization of 5862 in exponential form is:

5862 = 21×31×9771

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 5862 and 5870.

LCM(5862,5870) = 21×31×51×5871×9771
LCM(5862,5870) = 17204970

Factors of 5862

List of positive integer factors of 5862 that divides 5862 without a remainder.

1, 2, 3, 6, 977, 1954, 2931, 5862

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 5862 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 5862 and 5870, than apply into the LCM equation.

GCF(5862,5870) = 2
LCM(5862,5870) = ( 5862 × 5870) / 2
LCM(5862,5870) = 34409940 / 2
LCM(5862,5870) = 17204970

Properties of LCM 5862 and 5870

(i) The LCM of 5870 and 5862 is associative

LCM of 5862 and 5870 = LCM of 5870 and 5862

Related Least Common Multiples of 5862

Related Least Common Multiples of 5870

Frequently Asked Questions on LCM of 5862 and 5870

1. What is the LCM of 5862 and 5870?

Answer: LCM of 5862 and 5870 is 17204970.

2. What are the Factors of 5862?

Answer: Factors of 5862 are 1, 2, 3, 6, 977, 1954, 2931, 5862. There are 8 integers that are factors of 5862. The greatest factor of 5862 is 5862.

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 5862 and 5870?

Answer:

Least Common Multiple of 5862 and 5870 = 17204970

Step 1: Find the prime factorization of 5862

5862 = 2 x 3 x 977

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 = 17204970 = 2 x 3 x 5 x 587 x 977

Step 4: Therefore, the least common multiple of 5862 and 5870 is 17204970.