Least Common Multiple of 5815 and 5820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5815 and 5820 the smallest integer that is 6768660 that is divisible by both numbers.

Least Common Multiple (LCM) of 5815 and 5820 is 6768660.

LCM(5815,5820) = 6768660

LCM of 5815 and 5820

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

LCM of:
and

Least Common Multiple of 5815 and 5820

LCM of 5815 and 5820 is 6768660

Least common multiple can be found by multiplying the highest exponent prime factors of 5815 and 5820. First we will calculate the prime factors of 5815 and 5820.

Prime Factorization of 5815


5 5815
1163 1163
1

Prime factors of 5815 are 5,1163. Prime factorization of 5815 in exponential form is:

5815 = 51×11631

Prime Factorization of 5820


2 5820
2 2910
3 1455
5 485
97 97
1

Prime factors of 5820 are 2, 3, 5,97. Prime factorization of 5820 in exponential form is:

5820 = 22×31×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5815 and 5820.

LCM(5815,5820) = 22×31×51×971×11631
LCM(5815,5820) = 6768660

Factors of 5815

List of positive integer factors of 5815 that divides 5815 without a remainder.

1, 5, 1163, 5815

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820

Least Common Multiple of 5815 and 5820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5815 and 5820, than apply into the LCM equation.

GCF(5815,5820) = 5
LCM(5815,5820) = ( 5815 × 5820) / 5
LCM(5815,5820) = 33843300 / 5
LCM(5815,5820) = 6768660

Properties of LCM 5815 and 5820

(i) The LCM of 5820 and 5815 is associative

LCM of 5815 and 5820 = LCM of 5820 and 5815

Related Least Common Multiples of 5815

Related Least Common Multiples of 5820

Frequently Asked Questions on LCM of 5815 and 5820

1. What is the LCM of 5815 and 5820?

Answer: LCM of 5815 and 5820 is 6768660.

2. What are the Factors of 5815?

Answer: Factors of 5815 are 1, 5, 1163, 5815. There are 4 integers that are factors of 5815. The greatest factor of 5815 is 5815.

3. What are the Factors of 5820?

Answer: Factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820. There are 24 integers that are factors of 5820. The greatest factor of 5820 is 5820.

4. How to Find the LCM of 5815 and 5820?

Answer:

Least Common Multiple of 5815 and 5820 = 6768660

Step 1: Find the prime factorization of 5815

5815 = 5 x 1163

Step 2: Find the prime factorization of 5820

5820 = 2 x 2 x 3 x 5 x 97

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

LCM = 6768660 = 2 x 2 x 3 x 5 x 97 x 1163

Step 4: Therefore, the least common multiple of 5815 and 5820 is 6768660.