Least Common Multiple of 5899 and 5904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5899 and 5904 the smallest integer that is 34827696 that is divisible by both numbers.

Least Common Multiple (LCM) of 5899 and 5904 is 34827696.

LCM(5899,5904) = 34827696

LCM of 5899 and 5904

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

LCM of:
and

Least Common Multiple of 5899 and 5904

LCM of 5899 and 5904 is 34827696

Least common multiple can be found by multiplying the highest exponent prime factors of 5899 and 5904. First we will calculate the prime factors of 5899 and 5904.

Prime Factorization of 5899


17 5899
347 347
1

Prime factors of 5899 are 17,347. Prime factorization of 5899 in exponential form is:

5899 = 171×3471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5899 and 5904.

LCM(5899,5904) = 24×32×171×411×3471
LCM(5899,5904) = 34827696

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1, 17, 347, 5899

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

Least Common Multiple of 5899 and 5904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5899 and 5904, than apply into the LCM equation.

GCF(5899,5904) = 1
LCM(5899,5904) = ( 5899 × 5904) / 1
LCM(5899,5904) = 34827696 / 1
LCM(5899,5904) = 34827696

Properties of LCM 5899 and 5904

(i) The LCM of 5904 and 5899 is associative

LCM of 5899 and 5904 = LCM of 5904 and 5899

Related Least Common Multiples of 5899

Related Least Common Multiples of 5904

Frequently Asked Questions on LCM of 5899 and 5904

1. What is the LCM of 5899 and 5904?

Answer: LCM of 5899 and 5904 is 34827696.

2. What are the Factors of 5899?

Answer: Factors of 5899 are 1, 17, 347, 5899. There are 4 integers that are factors of 5899. The greatest factor of 5899 is 5899.

3. 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.

4. How to Find the LCM of 5899 and 5904?

Answer:

Least Common Multiple of 5899 and 5904 = 34827696

Step 1: Find the prime factorization of 5899

5899 = 17 x 347

Step 2: Find the prime factorization of 5904

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

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

LCM = 34827696 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 41 x 347

Step 4: Therefore, the least common multiple of 5899 and 5904 is 34827696.