Least Common Multiple of 5820 and 5827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5820 and 5827 the smallest integer that is 33913140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5820 and 5827 is 33913140.

LCM(5820,5827) = 33913140

LCM of 5820 and 5827

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

LCM of:
and

Least Common Multiple of 5820 and 5827

LCM of 5820 and 5827 is 33913140

Least common multiple can be found by multiplying the highest exponent prime factors of 5820 and 5827. First we will calculate the prime factors of 5820 and 5827.

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

Prime Factorization of 5827


5827 5827
1

Prime factors of 5827 are 5827. Prime factorization of 5827 in exponential form is:

5827 = 58271

Now multiplying the highest exponent prime factors to calculate the LCM of 5820 and 5827.

LCM(5820,5827) = 22×31×51×971×58271
LCM(5820,5827) = 33913140

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

Factors of 5827

List of positive integer factors of 5827 that divides 5827 without a remainder.

1, 5827

Least Common Multiple of 5820 and 5827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5820 and 5827, than apply into the LCM equation.

GCF(5820,5827) = 1
LCM(5820,5827) = ( 5820 × 5827) / 1
LCM(5820,5827) = 33913140 / 1
LCM(5820,5827) = 33913140

Properties of LCM 5820 and 5827

(i) The LCM of 5827 and 5820 is associative

LCM of 5820 and 5827 = LCM of 5827 and 5820

Related Least Common Multiples of 5820

Related Least Common Multiples of 5827

Frequently Asked Questions on LCM of 5820 and 5827

1. What is the LCM of 5820 and 5827?

Answer: LCM of 5820 and 5827 is 33913140.

2. 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.

3. What are the Factors of 5827?

Answer: Factors of 5827 are 1, 5827. There are 2 integers that are factors of 5827. The greatest factor of 5827 is 5827.

4. How to Find the LCM of 5820 and 5827?

Answer:

Least Common Multiple of 5820 and 5827 = 33913140

Step 1: Find the prime factorization of 5820

5820 = 2 x 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 5827

5827 = 5827

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

LCM = 33913140 = 2 x 2 x 3 x 5 x 97 x 5827

Step 4: Therefore, the least common multiple of 5820 and 5827 is 33913140.