Least Common Multiple of 5912 and 5916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5912 and 5916 the smallest integer that is 8743848 that is divisible by both numbers.

Least Common Multiple (LCM) of 5912 and 5916 is 8743848.

LCM(5912,5916) = 8743848

LCM of 5912 and 5916

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

LCM of:
and

Least Common Multiple of 5912 and 5916

LCM of 5912 and 5916 is 8743848

Least common multiple can be found by multiplying the highest exponent prime factors of 5912 and 5916. First we will calculate the prime factors of 5912 and 5916.

Prime Factorization of 5912


2 5912
2 2956
2 1478
739 739
1

Prime factors of 5912 are 2,739. Prime factorization of 5912 in exponential form is:

5912 = 23×7391

Prime Factorization of 5916


2 5916
2 2958
3 1479
17 493
29 29
1

Prime factors of 5916 are 2, 3, 17,29. Prime factorization of 5916 in exponential form is:

5916 = 22×31×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5912 and 5916.

LCM(5912,5916) = 23×31×171×291×7391
LCM(5912,5916) = 8743848

Factors of 5912

List of positive integer factors of 5912 that divides 5912 without a remainder.

1, 2, 4, 8, 739, 1478, 2956, 5912

Factors of 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916

Least Common Multiple of 5912 and 5916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5912 and 5916, than apply into the LCM equation.

GCF(5912,5916) = 4
LCM(5912,5916) = ( 5912 × 5916) / 4
LCM(5912,5916) = 34975392 / 4
LCM(5912,5916) = 8743848

Properties of LCM 5912 and 5916

(i) The LCM of 5916 and 5912 is associative

LCM of 5912 and 5916 = LCM of 5916 and 5912

Related Least Common Multiples of 5912

Related Least Common Multiples of 5916

Frequently Asked Questions on LCM of 5912 and 5916

1. What is the LCM of 5912 and 5916?

Answer: LCM of 5912 and 5916 is 8743848.

2. What are the Factors of 5912?

Answer: Factors of 5912 are 1, 2, 4, 8, 739, 1478, 2956, 5912. There are 8 integers that are factors of 5912. The greatest factor of 5912 is 5912.

3. What are the Factors of 5916?

Answer: Factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916. There are 24 integers that are factors of 5916. The greatest factor of 5916 is 5916.

4. How to Find the LCM of 5912 and 5916?

Answer:

Least Common Multiple of 5912 and 5916 = 8743848

Step 1: Find the prime factorization of 5912

5912 = 2 x 2 x 2 x 739

Step 2: Find the prime factorization of 5916

5916 = 2 x 2 x 3 x 17 x 29

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

LCM = 8743848 = 2 x 2 x 2 x 3 x 17 x 29 x 739

Step 4: Therefore, the least common multiple of 5912 and 5916 is 8743848.