Least Common Multiple of 5896 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 5896 and 5900 the smallest integer that is 8696600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5896 and 5900 is 8696600.

LCM(5896,5900) = 8696600

LCM of 5896 and 5900

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

LCM of:
and

Least Common Multiple of 5896 and 5900

LCM of 5896 and 5900 is 8696600

Least common multiple can be found by multiplying the highest exponent prime factors of 5896 and 5900. First we will calculate the prime factors of 5896 and 5900.

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 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 5896 and 5900.

LCM(5896,5900) = 23×52×111×591×671
LCM(5896,5900) = 8696600

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 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 5896 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 5896 and 5900, than apply into the LCM equation.

GCF(5896,5900) = 4
LCM(5896,5900) = ( 5896 × 5900) / 4
LCM(5896,5900) = 34786400 / 4
LCM(5896,5900) = 8696600

Properties of LCM 5896 and 5900

(i) The LCM of 5900 and 5896 is associative

LCM of 5896 and 5900 = LCM of 5900 and 5896

Related Least Common Multiples of 5896

Related Least Common Multiples of 5900

Frequently Asked Questions on LCM of 5896 and 5900

1. What is the LCM of 5896 and 5900?

Answer: LCM of 5896 and 5900 is 8696600.

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 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 5896 and 5900?

Answer:

Least Common Multiple of 5896 and 5900 = 8696600

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 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 = 8696600 = 2 x 2 x 2 x 5 x 5 x 11 x 59 x 67

Step 4: Therefore, the least common multiple of 5896 and 5900 is 8696600.