Least Common Multiple of 5896 and 5902

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 5902 the smallest integer that is 17399096 that is divisible by both numbers.

Least Common Multiple (LCM) of 5896 and 5902 is 17399096.

LCM(5896,5902) = 17399096

LCM of 5896 and 5902

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

LCM of:
and

Least Common Multiple of 5896 and 5902

LCM of 5896 and 5902 is 17399096

Least common multiple can be found by multiplying the highest exponent prime factors of 5896 and 5902. First we will calculate the prime factors of 5896 and 5902.

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 5902


2 5902
13 2951
227 227
1

Prime factors of 5902 are 2, 13,227. Prime factorization of 5902 in exponential form is:

5902 = 21×131×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 5896 and 5902.

LCM(5896,5902) = 23×111×131×671×2271
LCM(5896,5902) = 17399096

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 5902

List of positive integer factors of 5902 that divides 5902 without a remainder.

1, 2, 13, 26, 227, 454, 2951, 5902

Least Common Multiple of 5896 and 5902 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 5902, than apply into the LCM equation.

GCF(5896,5902) = 2
LCM(5896,5902) = ( 5896 × 5902) / 2
LCM(5896,5902) = 34798192 / 2
LCM(5896,5902) = 17399096

Properties of LCM 5896 and 5902

(i) The LCM of 5902 and 5896 is associative

LCM of 5896 and 5902 = LCM of 5902 and 5896

Related Least Common Multiples of 5896

Related Least Common Multiples of 5902

Frequently Asked Questions on LCM of 5896 and 5902

1. What is the LCM of 5896 and 5902?

Answer: LCM of 5896 and 5902 is 17399096.

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 5902?

Answer: Factors of 5902 are 1, 2, 13, 26, 227, 454, 2951, 5902. There are 8 integers that are factors of 5902. The greatest factor of 5902 is 5902.

4. How to Find the LCM of 5896 and 5902?

Answer:

Least Common Multiple of 5896 and 5902 = 17399096

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 5902

5902 = 2 x 13 x 227

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

LCM = 17399096 = 2 x 2 x 2 x 11 x 13 x 67 x 227

Step 4: Therefore, the least common multiple of 5896 and 5902 is 17399096.