Least Common Multiple of 5889 and 5896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5889 and 5896 the smallest integer that is 34721544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5889 and 5896 is 34721544.

LCM(5889,5896) = 34721544

LCM of 5889 and 5896

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

LCM of:
and

Least Common Multiple of 5889 and 5896

LCM of 5889 and 5896 is 34721544

Least common multiple can be found by multiplying the highest exponent prime factors of 5889 and 5896. First we will calculate the prime factors of 5889 and 5896.

Prime Factorization of 5889


3 5889
13 1963
151 151
1

Prime factors of 5889 are 3, 13,151. Prime factorization of 5889 in exponential form is:

5889 = 31×131×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5889 and 5896.

LCM(5889,5896) = 23×31×111×131×671×1511
LCM(5889,5896) = 34721544

Factors of 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1, 3, 13, 39, 151, 453, 1963, 5889

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

Least Common Multiple of 5889 and 5896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5889 and 5896, than apply into the LCM equation.

GCF(5889,5896) = 1
LCM(5889,5896) = ( 5889 × 5896) / 1
LCM(5889,5896) = 34721544 / 1
LCM(5889,5896) = 34721544

Properties of LCM 5889 and 5896

(i) The LCM of 5896 and 5889 is associative

LCM of 5889 and 5896 = LCM of 5896 and 5889

Related Least Common Multiples of 5889

Related Least Common Multiples of 5896

Frequently Asked Questions on LCM of 5889 and 5896

1. What is the LCM of 5889 and 5896?

Answer: LCM of 5889 and 5896 is 34721544.

2. What are the Factors of 5889?

Answer: Factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889. There are 8 integers that are factors of 5889. The greatest factor of 5889 is 5889.

3. 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.

4. How to Find the LCM of 5889 and 5896?

Answer:

Least Common Multiple of 5889 and 5896 = 34721544

Step 1: Find the prime factorization of 5889

5889 = 3 x 13 x 151

Step 2: Find the prime factorization of 5896

5896 = 2 x 2 x 2 x 11 x 67

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

LCM = 34721544 = 2 x 2 x 2 x 3 x 11 x 13 x 67 x 151

Step 4: Therefore, the least common multiple of 5889 and 5896 is 34721544.