Least Common Multiple of 5816 and 5821

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 5821 the smallest integer that is 33854936 that is divisible by both numbers.

Least Common Multiple (LCM) of 5816 and 5821 is 33854936.

LCM(5816,5821) = 33854936

LCM of 5816 and 5821

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

LCM of:
and

Least Common Multiple of 5816 and 5821

LCM of 5816 and 5821 is 33854936

Least common multiple can be found by multiplying the highest exponent prime factors of 5816 and 5821. First we will calculate the prime factors of 5816 and 5821.

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 5821


5821 5821
1

Prime factors of 5821 are 5821. Prime factorization of 5821 in exponential form is:

5821 = 58211

Now multiplying the highest exponent prime factors to calculate the LCM of 5816 and 5821.

LCM(5816,5821) = 23×7271×58211
LCM(5816,5821) = 33854936

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 5821

List of positive integer factors of 5821 that divides 5821 without a remainder.

1, 5821

Least Common Multiple of 5816 and 5821 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 5821, than apply into the LCM equation.

GCF(5816,5821) = 1
LCM(5816,5821) = ( 5816 × 5821) / 1
LCM(5816,5821) = 33854936 / 1
LCM(5816,5821) = 33854936

Properties of LCM 5816 and 5821

(i) The LCM of 5821 and 5816 is associative

LCM of 5816 and 5821 = LCM of 5821 and 5816

Related Least Common Multiples of 5816

Related Least Common Multiples of 5821

Frequently Asked Questions on LCM of 5816 and 5821

1. What is the LCM of 5816 and 5821?

Answer: LCM of 5816 and 5821 is 33854936.

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 5821?

Answer: Factors of 5821 are 1, 5821. There are 2 integers that are factors of 5821. The greatest factor of 5821 is 5821.

4. How to Find the LCM of 5816 and 5821?

Answer:

Least Common Multiple of 5816 and 5821 = 33854936

Step 1: Find the prime factorization of 5816

5816 = 2 x 2 x 2 x 727

Step 2: Find the prime factorization of 5821

5821 = 5821

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

LCM = 33854936 = 2 x 2 x 2 x 727 x 5821

Step 4: Therefore, the least common multiple of 5816 and 5821 is 33854936.