Least Common Multiple of 2820 and 2827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2820 and 2827 the smallest integer that is 7972140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2820 and 2827 is 7972140.

LCM(2820,2827) = 7972140

LCM of 2820 and 2827

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

LCM of:
and

Least Common Multiple of 2820 and 2827

LCM of 2820 and 2827 is 7972140

Least common multiple can be found by multiplying the highest exponent prime factors of 2820 and 2827. First we will calculate the prime factors of 2820 and 2827.

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

Prime Factorization of 2827


11 2827
257 257
1

Prime factors of 2827 are 11,257. Prime factorization of 2827 in exponential form is:

2827 = 111×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 2820 and 2827.

LCM(2820,2827) = 22×31×51×111×471×2571
LCM(2820,2827) = 7972140

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

Factors of 2827

List of positive integer factors of 2827 that divides 2827 without a remainder.

1, 11, 257, 2827

Least Common Multiple of 2820 and 2827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2820 and 2827, than apply into the LCM equation.

GCF(2820,2827) = 1
LCM(2820,2827) = ( 2820 × 2827) / 1
LCM(2820,2827) = 7972140 / 1
LCM(2820,2827) = 7972140

Properties of LCM 2820 and 2827

(i) The LCM of 2827 and 2820 is associative

LCM of 2820 and 2827 = LCM of 2827 and 2820

Related Least Common Multiples of 2820

Related Least Common Multiples of 2827

Frequently Asked Questions on LCM of 2820 and 2827

1. What is the LCM of 2820 and 2827?

Answer: LCM of 2820 and 2827 is 7972140.

2. 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.

3. What are the Factors of 2827?

Answer: Factors of 2827 are 1, 11, 257, 2827. There are 4 integers that are factors of 2827. The greatest factor of 2827 is 2827.

4. How to Find the LCM of 2820 and 2827?

Answer:

Least Common Multiple of 2820 and 2827 = 7972140

Step 1: Find the prime factorization of 2820

2820 = 2 x 2 x 3 x 5 x 47

Step 2: Find the prime factorization of 2827

2827 = 11 x 257

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

LCM = 7972140 = 2 x 2 x 3 x 5 x 11 x 47 x 257

Step 4: Therefore, the least common multiple of 2820 and 2827 is 7972140.