Least Common Multiple of 5913 and 5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5913 and 5920 the smallest integer that is 35004960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5913 and 5920 is 35004960.

LCM(5913,5920) = 35004960

LCM of 5913 and 5920

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

LCM of:
and

Least Common Multiple of 5913 and 5920

LCM of 5913 and 5920 is 35004960

Least common multiple can be found by multiplying the highest exponent prime factors of 5913 and 5920. First we will calculate the prime factors of 5913 and 5920.

Prime Factorization of 5913


3 5913
3 1971
3 657
3 219
73 73
1

Prime factors of 5913 are 3,73. Prime factorization of 5913 in exponential form is:

5913 = 34×731

Prime Factorization of 5920


2 5920
2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 5920 are 2, 5,37. Prime factorization of 5920 in exponential form is:

5920 = 25×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5913 and 5920.

LCM(5913,5920) = 25×34×51×371×731
LCM(5913,5920) = 35004960

Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920

Least Common Multiple of 5913 and 5920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5913 and 5920, than apply into the LCM equation.

GCF(5913,5920) = 1
LCM(5913,5920) = ( 5913 × 5920) / 1
LCM(5913,5920) = 35004960 / 1
LCM(5913,5920) = 35004960

Properties of LCM 5913 and 5920

(i) The LCM of 5920 and 5913 is associative

LCM of 5913 and 5920 = LCM of 5920 and 5913

Related Least Common Multiples of 5913

Related Least Common Multiples of 5920

Frequently Asked Questions on LCM of 5913 and 5920

1. What is the LCM of 5913 and 5920?

Answer: LCM of 5913 and 5920 is 35004960.

2. What are the Factors of 5913?

Answer: Factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. There are 10 integers that are factors of 5913. The greatest factor of 5913 is 5913.

3. What are the Factors of 5920?

Answer: Factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. There are 24 integers that are factors of 5920. The greatest factor of 5920 is 5920.

4. How to Find the LCM of 5913 and 5920?

Answer:

Least Common Multiple of 5913 and 5920 = 35004960

Step 1: Find the prime factorization of 5913

5913 = 3 x 3 x 3 x 3 x 73

Step 2: Find the prime factorization of 5920

5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37

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

LCM = 35004960 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 37 x 73

Step 4: Therefore, the least common multiple of 5913 and 5920 is 35004960.