Least Common Multiple of 5910 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 5910 and 5916 the smallest integer that is 5827260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5910 and 5916 is 5827260.

LCM(5910,5916) = 5827260

LCM of 5910 and 5916

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

LCM of:
and

Least Common Multiple of 5910 and 5916

LCM of 5910 and 5916 is 5827260

Least common multiple can be found by multiplying the highest exponent prime factors of 5910 and 5916. First we will calculate the prime factors of 5910 and 5916.

Prime Factorization of 5910


2 5910
3 2955
5 985
197 197
1

Prime factors of 5910 are 2, 3, 5,197. Prime factorization of 5910 in exponential form is:

5910 = 21×31×51×1971

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 5910 and 5916.

LCM(5910,5916) = 22×31×51×171×291×1971
LCM(5910,5916) = 5827260

Factors of 5910

List of positive integer factors of 5910 that divides 5910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910

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 5910 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 5910 and 5916, than apply into the LCM equation.

GCF(5910,5916) = 6
LCM(5910,5916) = ( 5910 × 5916) / 6
LCM(5910,5916) = 34963560 / 6
LCM(5910,5916) = 5827260

Properties of LCM 5910 and 5916

(i) The LCM of 5916 and 5910 is associative

LCM of 5910 and 5916 = LCM of 5916 and 5910

Related Least Common Multiples of 5910

Related Least Common Multiples of 5916

Frequently Asked Questions on LCM of 5910 and 5916

1. What is the LCM of 5910 and 5916?

Answer: LCM of 5910 and 5916 is 5827260.

2. What are the Factors of 5910?

Answer: Factors of 5910 are 1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910. There are 16 integers that are factors of 5910. The greatest factor of 5910 is 5910.

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 5910 and 5916?

Answer:

Least Common Multiple of 5910 and 5916 = 5827260

Step 1: Find the prime factorization of 5910

5910 = 2 x 3 x 5 x 197

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 = 5827260 = 2 x 2 x 3 x 5 x 17 x 29 x 197

Step 4: Therefore, the least common multiple of 5910 and 5916 is 5827260.