Least Common Multiple of 5870 and 5877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5870 and 5877 the smallest integer that is 34497990 that is divisible by both numbers.

Least Common Multiple (LCM) of 5870 and 5877 is 34497990.

LCM(5870,5877) = 34497990

LCM of 5870 and 5877

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

LCM of:
and

Least Common Multiple of 5870 and 5877

LCM of 5870 and 5877 is 34497990

Least common multiple can be found by multiplying the highest exponent prime factors of 5870 and 5877. First we will calculate the prime factors of 5870 and 5877.

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

Prime Factorization of 5877


3 5877
3 1959
653 653
1

Prime factors of 5877 are 3,653. Prime factorization of 5877 in exponential form is:

5877 = 32×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 5870 and 5877.

LCM(5870,5877) = 21×32×51×5871×6531
LCM(5870,5877) = 34497990

Factors of 5870

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

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

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1, 3, 9, 653, 1959, 5877

Least Common Multiple of 5870 and 5877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5870 and 5877, than apply into the LCM equation.

GCF(5870,5877) = 1
LCM(5870,5877) = ( 5870 × 5877) / 1
LCM(5870,5877) = 34497990 / 1
LCM(5870,5877) = 34497990

Properties of LCM 5870 and 5877

(i) The LCM of 5877 and 5870 is associative

LCM of 5870 and 5877 = LCM of 5877 and 5870

Related Least Common Multiples of 5870

Related Least Common Multiples of 5877

Frequently Asked Questions on LCM of 5870 and 5877

1. What is the LCM of 5870 and 5877?

Answer: LCM of 5870 and 5877 is 34497990.

2. 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.

3. What are the Factors of 5877?

Answer: Factors of 5877 are 1, 3, 9, 653, 1959, 5877. There are 6 integers that are factors of 5877. The greatest factor of 5877 is 5877.

4. How to Find the LCM of 5870 and 5877?

Answer:

Least Common Multiple of 5870 and 5877 = 34497990

Step 1: Find the prime factorization of 5870

5870 = 2 x 5 x 587

Step 2: Find the prime factorization of 5877

5877 = 3 x 3 x 653

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

LCM = 34497990 = 2 x 3 x 3 x 5 x 587 x 653

Step 4: Therefore, the least common multiple of 5870 and 5877 is 34497990.