Least Common Multiple of 5816 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 5816 and 5820 the smallest integer that is 8462280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5816 and 5820 is 8462280.

LCM(5816,5820) = 8462280

LCM of 5816 and 5820

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

LCM of:
and

Least Common Multiple of 5816 and 5820

LCM of 5816 and 5820 is 8462280

Least common multiple can be found by multiplying the highest exponent prime factors of 5816 and 5820. First we will calculate the prime factors of 5816 and 5820.

Prime Factorization of 5816


2 5816
2 2908
2 1454
727 727
1

Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:

5816 = 23×7271

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 5816 and 5820.

LCM(5816,5820) = 23×31×51×971×7271
LCM(5816,5820) = 8462280

Factors of 5816

List of positive integer factors of 5816 that divides 5816 without a remainder.

1, 2, 4, 8, 727, 1454, 2908, 5816

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 5816 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 5816 and 5820, than apply into the LCM equation.

GCF(5816,5820) = 4
LCM(5816,5820) = ( 5816 × 5820) / 4
LCM(5816,5820) = 33849120 / 4
LCM(5816,5820) = 8462280

Properties of LCM 5816 and 5820

(i) The LCM of 5820 and 5816 is associative

LCM of 5816 and 5820 = LCM of 5820 and 5816

Related Least Common Multiples of 5816

Related Least Common Multiples of 5820

Frequently Asked Questions on LCM of 5816 and 5820

1. What is the LCM of 5816 and 5820?

Answer: LCM of 5816 and 5820 is 8462280.

2. What are the Factors of 5816?

Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.

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 5816 and 5820?

Answer:

Least Common Multiple of 5816 and 5820 = 8462280

Step 1: Find the prime factorization of 5816

5816 = 2 x 2 x 2 x 727

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 = 8462280 = 2 x 2 x 2 x 3 x 5 x 97 x 727

Step 4: Therefore, the least common multiple of 5816 and 5820 is 8462280.