Least Common Multiple of 5893 and 5900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5893 and 5900 the smallest integer that is 34768700 that is divisible by both numbers.

Least Common Multiple (LCM) of 5893 and 5900 is 34768700.

LCM(5893,5900) = 34768700

LCM of 5893 and 5900

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

LCM of:
and

Least Common Multiple of 5893 and 5900

LCM of 5893 and 5900 is 34768700

Least common multiple can be found by multiplying the highest exponent prime factors of 5893 and 5900. First we will calculate the prime factors of 5893 and 5900.

Prime Factorization of 5893


71 5893
83 83
1

Prime factors of 5893 are 71,83. Prime factorization of 5893 in exponential form is:

5893 = 711×831

Prime Factorization of 5900


2 5900
2 2950
5 1475
5 295
59 59
1

Prime factors of 5900 are 2, 5,59. Prime factorization of 5900 in exponential form is:

5900 = 22×52×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5893 and 5900.

LCM(5893,5900) = 22×52×591×711×831
LCM(5893,5900) = 34768700

Factors of 5893

List of positive integer factors of 5893 that divides 5893 without a remainder.

1, 71, 83, 5893

Factors of 5900

List of positive integer factors of 5900 that divides 5900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900

Least Common Multiple of 5893 and 5900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5893 and 5900, than apply into the LCM equation.

GCF(5893,5900) = 1
LCM(5893,5900) = ( 5893 × 5900) / 1
LCM(5893,5900) = 34768700 / 1
LCM(5893,5900) = 34768700

Properties of LCM 5893 and 5900

(i) The LCM of 5900 and 5893 is associative

LCM of 5893 and 5900 = LCM of 5900 and 5893

Related Least Common Multiples of 5893

Related Least Common Multiples of 5900

Frequently Asked Questions on LCM of 5893 and 5900

1. What is the LCM of 5893 and 5900?

Answer: LCM of 5893 and 5900 is 34768700.

2. What are the Factors of 5893?

Answer: Factors of 5893 are 1, 71, 83, 5893. There are 4 integers that are factors of 5893. The greatest factor of 5893 is 5893.

3. What are the Factors of 5900?

Answer: Factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900. There are 18 integers that are factors of 5900. The greatest factor of 5900 is 5900.

4. How to Find the LCM of 5893 and 5900?

Answer:

Least Common Multiple of 5893 and 5900 = 34768700

Step 1: Find the prime factorization of 5893

5893 = 71 x 83

Step 2: Find the prime factorization of 5900

5900 = 2 x 2 x 5 x 5 x 59

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

LCM = 34768700 = 2 x 2 x 5 x 5 x 59 x 71 x 83

Step 4: Therefore, the least common multiple of 5893 and 5900 is 34768700.