Least Common Multiple of 5895 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 5895 and 5900 the smallest integer that is 6956100 that is divisible by both numbers.

Least Common Multiple (LCM) of 5895 and 5900 is 6956100.

LCM(5895,5900) = 6956100

LCM of 5895 and 5900

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

LCM of:
and

Least Common Multiple of 5895 and 5900

LCM of 5895 and 5900 is 6956100

Least common multiple can be found by multiplying the highest exponent prime factors of 5895 and 5900. First we will calculate the prime factors of 5895 and 5900.

Prime Factorization of 5895


3 5895
3 1965
5 655
131 131
1

Prime factors of 5895 are 3, 5,131. Prime factorization of 5895 in exponential form is:

5895 = 32×51×1311

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 5895 and 5900.

LCM(5895,5900) = 22×32×52×591×1311
LCM(5895,5900) = 6956100

Factors of 5895

List of positive integer factors of 5895 that divides 5895 without a remainder.

1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895

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 5895 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 5895 and 5900, than apply into the LCM equation.

GCF(5895,5900) = 5
LCM(5895,5900) = ( 5895 × 5900) / 5
LCM(5895,5900) = 34780500 / 5
LCM(5895,5900) = 6956100

Properties of LCM 5895 and 5900

(i) The LCM of 5900 and 5895 is associative

LCM of 5895 and 5900 = LCM of 5900 and 5895

Related Least Common Multiples of 5895

Related Least Common Multiples of 5900

Frequently Asked Questions on LCM of 5895 and 5900

1. What is the LCM of 5895 and 5900?

Answer: LCM of 5895 and 5900 is 6956100.

2. What are the Factors of 5895?

Answer: Factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895. There are 12 integers that are factors of 5895. The greatest factor of 5895 is 5895.

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 5895 and 5900?

Answer:

Least Common Multiple of 5895 and 5900 = 6956100

Step 1: Find the prime factorization of 5895

5895 = 3 x 3 x 5 x 131

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 = 6956100 = 2 x 2 x 3 x 3 x 5 x 5 x 59 x 131

Step 4: Therefore, the least common multiple of 5895 and 5900 is 6956100.