Least Common Multiple of 5896 and 5903

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 5903 the smallest integer that is 34804088 that is divisible by both numbers.

Least Common Multiple (LCM) of 5896 and 5903 is 34804088.

LCM(5896,5903) = 34804088

LCM of 5896 and 5903

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

LCM of:
and

Least Common Multiple of 5896 and 5903

LCM of 5896 and 5903 is 34804088

Least common multiple can be found by multiplying the highest exponent prime factors of 5896 and 5903. First we will calculate the prime factors of 5896 and 5903.

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 5903


5903 5903
1

Prime factors of 5903 are 5903. Prime factorization of 5903 in exponential form is:

5903 = 59031

Now multiplying the highest exponent prime factors to calculate the LCM of 5896 and 5903.

LCM(5896,5903) = 23×111×671×59031
LCM(5896,5903) = 34804088

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 5903

List of positive integer factors of 5903 that divides 5903 without a remainder.

1, 5903

Least Common Multiple of 5896 and 5903 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 5903, than apply into the LCM equation.

GCF(5896,5903) = 1
LCM(5896,5903) = ( 5896 × 5903) / 1
LCM(5896,5903) = 34804088 / 1
LCM(5896,5903) = 34804088

Properties of LCM 5896 and 5903

(i) The LCM of 5903 and 5896 is associative

LCM of 5896 and 5903 = LCM of 5903 and 5896

Related Least Common Multiples of 5896

Related Least Common Multiples of 5903

Frequently Asked Questions on LCM of 5896 and 5903

1. What is the LCM of 5896 and 5903?

Answer: LCM of 5896 and 5903 is 34804088.

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 5903?

Answer: Factors of 5903 are 1, 5903. There are 2 integers that are factors of 5903. The greatest factor of 5903 is 5903.

4. How to Find the LCM of 5896 and 5903?

Answer:

Least Common Multiple of 5896 and 5903 = 34804088

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 5903

5903 = 5903

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

LCM = 34804088 = 2 x 2 x 2 x 11 x 67 x 5903

Step 4: Therefore, the least common multiple of 5896 and 5903 is 34804088.