Least Common Multiple of 2813 and 2820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2813 and 2820 the smallest integer that is 7932660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2813 and 2820 is 7932660.

LCM(2813,2820) = 7932660

LCM of 2813 and 2820

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

LCM of:
and

Least Common Multiple of 2813 and 2820

LCM of 2813 and 2820 is 7932660

Least common multiple can be found by multiplying the highest exponent prime factors of 2813 and 2820. First we will calculate the prime factors of 2813 and 2820.

Prime Factorization of 2813


29 2813
97 97
1

Prime factors of 2813 are 29,97. Prime factorization of 2813 in exponential form is:

2813 = 291×971

Prime Factorization of 2820


2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 2820 are 2, 3, 5,47. Prime factorization of 2820 in exponential form is:

2820 = 22×31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2813 and 2820.

LCM(2813,2820) = 22×31×51×291×471×971
LCM(2813,2820) = 7932660

Factors of 2813

List of positive integer factors of 2813 that divides 2813 without a remainder.

1, 29, 97, 2813

Factors of 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820

Least Common Multiple of 2813 and 2820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2813 and 2820, than apply into the LCM equation.

GCF(2813,2820) = 1
LCM(2813,2820) = ( 2813 × 2820) / 1
LCM(2813,2820) = 7932660 / 1
LCM(2813,2820) = 7932660

Properties of LCM 2813 and 2820

(i) The LCM of 2820 and 2813 is associative

LCM of 2813 and 2820 = LCM of 2820 and 2813

Related Least Common Multiples of 2813

Related Least Common Multiples of 2820

Frequently Asked Questions on LCM of 2813 and 2820

1. What is the LCM of 2813 and 2820?

Answer: LCM of 2813 and 2820 is 7932660.

2. What are the Factors of 2813?

Answer: Factors of 2813 are 1, 29, 97, 2813. There are 4 integers that are factors of 2813. The greatest factor of 2813 is 2813.

3. What are the Factors of 2820?

Answer: Factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820. There are 24 integers that are factors of 2820. The greatest factor of 2820 is 2820.

4. How to Find the LCM of 2813 and 2820?

Answer:

Least Common Multiple of 2813 and 2820 = 7932660

Step 1: Find the prime factorization of 2813

2813 = 29 x 97

Step 2: Find the prime factorization of 2820

2820 = 2 x 2 x 3 x 5 x 47

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

LCM = 7932660 = 2 x 2 x 3 x 5 x 29 x 47 x 97

Step 4: Therefore, the least common multiple of 2813 and 2820 is 7932660.