Least Common Multiple of 5904 and 5908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5904 and 5908 the smallest integer that is 8720208 that is divisible by both numbers.

Least Common Multiple (LCM) of 5904 and 5908 is 8720208.

LCM(5904,5908) = 8720208

LCM of 5904 and 5908

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

LCM of:
and

Least Common Multiple of 5904 and 5908

LCM of 5904 and 5908 is 8720208

Least common multiple can be found by multiplying the highest exponent prime factors of 5904 and 5908. First we will calculate the prime factors of 5904 and 5908.

Prime Factorization of 5904


2 5904
2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 5904 are 2, 3,41. Prime factorization of 5904 in exponential form is:

5904 = 24×32×411

Prime Factorization of 5908


2 5908
2 2954
7 1477
211 211
1

Prime factors of 5908 are 2, 7,211. Prime factorization of 5908 in exponential form is:

5908 = 22×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5904 and 5908.

LCM(5904,5908) = 24×32×71×411×2111
LCM(5904,5908) = 8720208

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904

Factors of 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908

Least Common Multiple of 5904 and 5908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5904 and 5908, than apply into the LCM equation.

GCF(5904,5908) = 4
LCM(5904,5908) = ( 5904 × 5908) / 4
LCM(5904,5908) = 34880832 / 4
LCM(5904,5908) = 8720208

Properties of LCM 5904 and 5908

(i) The LCM of 5908 and 5904 is associative

LCM of 5904 and 5908 = LCM of 5908 and 5904

Related Least Common Multiples of 5904

Related Least Common Multiples of 5908

Frequently Asked Questions on LCM of 5904 and 5908

1. What is the LCM of 5904 and 5908?

Answer: LCM of 5904 and 5908 is 8720208.

2. What are the Factors of 5904?

Answer: Factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904. There are 30 integers that are factors of 5904. The greatest factor of 5904 is 5904.

3. What are the Factors of 5908?

Answer: Factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908. There are 12 integers that are factors of 5908. The greatest factor of 5908 is 5908.

4. How to Find the LCM of 5904 and 5908?

Answer:

Least Common Multiple of 5904 and 5908 = 8720208

Step 1: Find the prime factorization of 5904

5904 = 2 x 2 x 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 5908

5908 = 2 x 2 x 7 x 211

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

LCM = 8720208 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 41 x 211

Step 4: Therefore, the least common multiple of 5904 and 5908 is 8720208.