Least Common Multiple of 5916 and 5923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5916 and 5923 the smallest integer that is 35040468 that is divisible by both numbers.

Least Common Multiple (LCM) of 5916 and 5923 is 35040468.

LCM(5916,5923) = 35040468

LCM of 5916 and 5923

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

LCM of:
and

Least Common Multiple of 5916 and 5923

LCM of 5916 and 5923 is 35040468

Least common multiple can be found by multiplying the highest exponent prime factors of 5916 and 5923. First we will calculate the prime factors of 5916 and 5923.

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

Prime Factorization of 5923


5923 5923
1

Prime factors of 5923 are 5923. Prime factorization of 5923 in exponential form is:

5923 = 59231

Now multiplying the highest exponent prime factors to calculate the LCM of 5916 and 5923.

LCM(5916,5923) = 22×31×171×291×59231
LCM(5916,5923) = 35040468

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

Factors of 5923

List of positive integer factors of 5923 that divides 5923 without a remainder.

1, 5923

Least Common Multiple of 5916 and 5923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5916 and 5923, than apply into the LCM equation.

GCF(5916,5923) = 1
LCM(5916,5923) = ( 5916 × 5923) / 1
LCM(5916,5923) = 35040468 / 1
LCM(5916,5923) = 35040468

Properties of LCM 5916 and 5923

(i) The LCM of 5923 and 5916 is associative

LCM of 5916 and 5923 = LCM of 5923 and 5916

Related Least Common Multiples of 5916

Related Least Common Multiples of 5923

Frequently Asked Questions on LCM of 5916 and 5923

1. What is the LCM of 5916 and 5923?

Answer: LCM of 5916 and 5923 is 35040468.

2. 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.

3. What are the Factors of 5923?

Answer: Factors of 5923 are 1, 5923. There are 2 integers that are factors of 5923. The greatest factor of 5923 is 5923.

4. How to Find the LCM of 5916 and 5923?

Answer:

Least Common Multiple of 5916 and 5923 = 35040468

Step 1: Find the prime factorization of 5916

5916 = 2 x 2 x 3 x 17 x 29

Step 2: Find the prime factorization of 5923

5923 = 5923

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

LCM = 35040468 = 2 x 2 x 3 x 17 x 29 x 5923

Step 4: Therefore, the least common multiple of 5916 and 5923 is 35040468.