Least Common Multiple of 5887 and 5892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5887 and 5892 the smallest integer that is 34686204 that is divisible by both numbers.

Least Common Multiple (LCM) of 5887 and 5892 is 34686204.

LCM(5887,5892) = 34686204

LCM of 5887 and 5892

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

LCM of:
and

Least Common Multiple of 5887 and 5892

LCM of 5887 and 5892 is 34686204

Least common multiple can be found by multiplying the highest exponent prime factors of 5887 and 5892. First we will calculate the prime factors of 5887 and 5892.

Prime Factorization of 5887


7 5887
29 841
29 29
1

Prime factors of 5887 are 7,29. Prime factorization of 5887 in exponential form is:

5887 = 71×292

Prime Factorization of 5892


2 5892
2 2946
3 1473
491 491
1

Prime factors of 5892 are 2, 3,491. Prime factorization of 5892 in exponential form is:

5892 = 22×31×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 5887 and 5892.

LCM(5887,5892) = 22×31×71×292×4911
LCM(5887,5892) = 34686204

Factors of 5887

List of positive integer factors of 5887 that divides 5887 without a remainder.

1, 7, 29, 203, 841, 5887

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892

Least Common Multiple of 5887 and 5892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5887 and 5892, than apply into the LCM equation.

GCF(5887,5892) = 1
LCM(5887,5892) = ( 5887 × 5892) / 1
LCM(5887,5892) = 34686204 / 1
LCM(5887,5892) = 34686204

Properties of LCM 5887 and 5892

(i) The LCM of 5892 and 5887 is associative

LCM of 5887 and 5892 = LCM of 5892 and 5887

Related Least Common Multiples of 5887

Related Least Common Multiples of 5892

Frequently Asked Questions on LCM of 5887 and 5892

1. What is the LCM of 5887 and 5892?

Answer: LCM of 5887 and 5892 is 34686204.

2. What are the Factors of 5887?

Answer: Factors of 5887 are 1, 7, 29, 203, 841, 5887. There are 6 integers that are factors of 5887. The greatest factor of 5887 is 5887.

3. What are the Factors of 5892?

Answer: Factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892. There are 12 integers that are factors of 5892. The greatest factor of 5892 is 5892.

4. How to Find the LCM of 5887 and 5892?

Answer:

Least Common Multiple of 5887 and 5892 = 34686204

Step 1: Find the prime factorization of 5887

5887 = 7 x 29 x 29

Step 2: Find the prime factorization of 5892

5892 = 2 x 2 x 3 x 491

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

LCM = 34686204 = 2 x 2 x 3 x 7 x 29 x 29 x 491

Step 4: Therefore, the least common multiple of 5887 and 5892 is 34686204.