Least Common Multiple of 5891 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 5891 and 5896 the smallest integer that is 34733336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5891 and 5896 is 34733336.

LCM(5891,5896) = 34733336

LCM of 5891 and 5896

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

LCM of:
and

Least Common Multiple of 5891 and 5896

LCM of 5891 and 5896 is 34733336

Least common multiple can be found by multiplying the highest exponent prime factors of 5891 and 5896. First we will calculate the prime factors of 5891 and 5896.

Prime Factorization of 5891


43 5891
137 137
1

Prime factors of 5891 are 43,137. Prime factorization of 5891 in exponential form is:

5891 = 431×1371

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 5891 and 5896.

LCM(5891,5896) = 23×111×431×671×1371
LCM(5891,5896) = 34733336

Factors of 5891

List of positive integer factors of 5891 that divides 5891 without a remainder.

1, 43, 137, 5891

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 5891 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 5891 and 5896, than apply into the LCM equation.

GCF(5891,5896) = 1
LCM(5891,5896) = ( 5891 × 5896) / 1
LCM(5891,5896) = 34733336 / 1
LCM(5891,5896) = 34733336

Properties of LCM 5891 and 5896

(i) The LCM of 5896 and 5891 is associative

LCM of 5891 and 5896 = LCM of 5896 and 5891

Related Least Common Multiples of 5891

Related Least Common Multiples of 5896

Frequently Asked Questions on LCM of 5891 and 5896

1. What is the LCM of 5891 and 5896?

Answer: LCM of 5891 and 5896 is 34733336.

2. What are the Factors of 5891?

Answer: Factors of 5891 are 1, 43, 137, 5891. There are 4 integers that are factors of 5891. The greatest factor of 5891 is 5891.

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 5891 and 5896?

Answer:

Least Common Multiple of 5891 and 5896 = 34733336

Step 1: Find the prime factorization of 5891

5891 = 43 x 137

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 = 34733336 = 2 x 2 x 2 x 11 x 43 x 67 x 137

Step 4: Therefore, the least common multiple of 5891 and 5896 is 34733336.