Least Common Multiple of 5896 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 5896 and 5904 the smallest integer that is 4351248 that is divisible by both numbers.

Least Common Multiple (LCM) of 5896 and 5904 is 4351248.

LCM(5896,5904) = 4351248

LCM of 5896 and 5904

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

LCM of:
and

Least Common Multiple of 5896 and 5904

LCM of 5896 and 5904 is 4351248

Least common multiple can be found by multiplying the highest exponent prime factors of 5896 and 5904. First we will calculate the prime factors of 5896 and 5904.

Prime Factorization of 5896


2 5896
2 2948
2 1474
11 737
67 67
1

Prime factors of 5896 are 2, 11,67. Prime factorization of 5896 in exponential form is:

5896 = 23×111×671

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 5896 and 5904.

LCM(5896,5904) = 24×32×111×411×671
LCM(5896,5904) = 4351248

Factors of 5896

List of positive integer factors of 5896 that divides 5896 without a remainder.

1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896

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 5896 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 5896 and 5904, than apply into the LCM equation.

GCF(5896,5904) = 8
LCM(5896,5904) = ( 5896 × 5904) / 8
LCM(5896,5904) = 34809984 / 8
LCM(5896,5904) = 4351248

Properties of LCM 5896 and 5904

(i) The LCM of 5904 and 5896 is associative

LCM of 5896 and 5904 = LCM of 5904 and 5896

Related Least Common Multiples of 5896

Related Least Common Multiples of 5904

Frequently Asked Questions on LCM of 5896 and 5904

1. What is the LCM of 5896 and 5904?

Answer: LCM of 5896 and 5904 is 4351248.

2. What are the Factors of 5896?

Answer: Factors of 5896 are 1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896. There are 16 integers that are factors of 5896. The greatest factor of 5896 is 5896.

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 5896 and 5904?

Answer:

Least Common Multiple of 5896 and 5904 = 4351248

Step 1: Find the prime factorization of 5896

5896 = 2 x 2 x 2 x 11 x 67

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 = 4351248 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 41 x 67

Step 4: Therefore, the least common multiple of 5896 and 5904 is 4351248.