Least Common Multiple of 5918 and 5924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5918 and 5924 the smallest integer that is 17529116 that is divisible by both numbers.

Least Common Multiple (LCM) of 5918 and 5924 is 17529116.

LCM(5918,5924) = 17529116

LCM of 5918 and 5924

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

LCM of:
and

Least Common Multiple of 5918 and 5924

LCM of 5918 and 5924 is 17529116

Least common multiple can be found by multiplying the highest exponent prime factors of 5918 and 5924. First we will calculate the prime factors of 5918 and 5924.

Prime Factorization of 5918


2 5918
11 2959
269 269
1

Prime factors of 5918 are 2, 11,269. Prime factorization of 5918 in exponential form is:

5918 = 21×111×2691

Prime Factorization of 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 5918 and 5924.

LCM(5918,5924) = 22×111×2691×14811
LCM(5918,5924) = 17529116

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1, 2, 11, 22, 269, 538, 2959, 5918

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1, 2, 4, 1481, 2962, 5924

Least Common Multiple of 5918 and 5924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5918 and 5924, than apply into the LCM equation.

GCF(5918,5924) = 2
LCM(5918,5924) = ( 5918 × 5924) / 2
LCM(5918,5924) = 35058232 / 2
LCM(5918,5924) = 17529116

Properties of LCM 5918 and 5924

(i) The LCM of 5924 and 5918 is associative

LCM of 5918 and 5924 = LCM of 5924 and 5918

Related Least Common Multiples of 5918

Related Least Common Multiples of 5924

Frequently Asked Questions on LCM of 5918 and 5924

1. What is the LCM of 5918 and 5924?

Answer: LCM of 5918 and 5924 is 17529116.

2. What are the Factors of 5918?

Answer: Factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918. There are 8 integers that are factors of 5918. The greatest factor of 5918 is 5918.

3. What are the Factors of 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

4. How to Find the LCM of 5918 and 5924?

Answer:

Least Common Multiple of 5918 and 5924 = 17529116

Step 1: Find the prime factorization of 5918

5918 = 2 x 11 x 269

Step 2: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

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

LCM = 17529116 = 2 x 2 x 11 x 269 x 1481

Step 4: Therefore, the least common multiple of 5918 and 5924 is 17529116.