Least Common Multiple of 5885 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 5885 and 5892 the smallest integer that is 34674420 that is divisible by both numbers.

Least Common Multiple (LCM) of 5885 and 5892 is 34674420.

LCM(5885,5892) = 34674420

LCM of 5885 and 5892

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

LCM of:
and

Least Common Multiple of 5885 and 5892

LCM of 5885 and 5892 is 34674420

Least common multiple can be found by multiplying the highest exponent prime factors of 5885 and 5892. First we will calculate the prime factors of 5885 and 5892.

Prime Factorization of 5885


5 5885
11 1177
107 107
1

Prime factors of 5885 are 5, 11,107. Prime factorization of 5885 in exponential form is:

5885 = 51×111×1071

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 5885 and 5892.

LCM(5885,5892) = 22×31×51×111×1071×4911
LCM(5885,5892) = 34674420

Factors of 5885

List of positive integer factors of 5885 that divides 5885 without a remainder.

1, 5, 11, 55, 107, 535, 1177, 5885

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 5885 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 5885 and 5892, than apply into the LCM equation.

GCF(5885,5892) = 1
LCM(5885,5892) = ( 5885 × 5892) / 1
LCM(5885,5892) = 34674420 / 1
LCM(5885,5892) = 34674420

Properties of LCM 5885 and 5892

(i) The LCM of 5892 and 5885 is associative

LCM of 5885 and 5892 = LCM of 5892 and 5885

Related Least Common Multiples of 5885

Related Least Common Multiples of 5892

Frequently Asked Questions on LCM of 5885 and 5892

1. What is the LCM of 5885 and 5892?

Answer: LCM of 5885 and 5892 is 34674420.

2. What are the Factors of 5885?

Answer: Factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885. There are 8 integers that are factors of 5885. The greatest factor of 5885 is 5885.

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 5885 and 5892?

Answer:

Least Common Multiple of 5885 and 5892 = 34674420

Step 1: Find the prime factorization of 5885

5885 = 5 x 11 x 107

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 = 34674420 = 2 x 2 x 3 x 5 x 11 x 107 x 491

Step 4: Therefore, the least common multiple of 5885 and 5892 is 34674420.