Least Common Multiple of 2827 and 2828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2827 and 2828 the smallest integer that is 7994756 that is divisible by both numbers.

Least Common Multiple (LCM) of 2827 and 2828 is 7994756.

LCM(2827,2828) = 7994756

LCM of 2827 and 2828

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

LCM of:
and

Least Common Multiple of 2827 and 2828

LCM of 2827 and 2828 is 7994756

Least common multiple can be found by multiplying the highest exponent prime factors of 2827 and 2828. First we will calculate the prime factors of 2827 and 2828.

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

Prime Factorization of 2828


2 2828
2 1414
7 707
101 101
1

Prime factors of 2828 are 2, 7,101. Prime factorization of 2828 in exponential form is:

2828 = 22×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2827 and 2828.

LCM(2827,2828) = 22×71×111×1011×2571
LCM(2827,2828) = 7994756

Factors of 2827

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

1, 11, 257, 2827

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828

Least Common Multiple of 2827 and 2828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2827 and 2828, than apply into the LCM equation.

GCF(2827,2828) = 1
LCM(2827,2828) = ( 2827 × 2828) / 1
LCM(2827,2828) = 7994756 / 1
LCM(2827,2828) = 7994756

Properties of LCM 2827 and 2828

(i) The LCM of 2828 and 2827 is associative

LCM of 2827 and 2828 = LCM of 2828 and 2827

Related Least Common Multiples of 2827

Related Least Common Multiples of 2828

Frequently Asked Questions on LCM of 2827 and 2828

1. What is the LCM of 2827 and 2828?

Answer: LCM of 2827 and 2828 is 7994756.

2. 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.

3. What are the Factors of 2828?

Answer: Factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828. There are 12 integers that are factors of 2828. The greatest factor of 2828 is 2828.

4. How to Find the LCM of 2827 and 2828?

Answer:

Least Common Multiple of 2827 and 2828 = 7994756

Step 1: Find the prime factorization of 2827

2827 = 11 x 257

Step 2: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

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

LCM = 7994756 = 2 x 2 x 7 x 11 x 101 x 257

Step 4: Therefore, the least common multiple of 2827 and 2828 is 7994756.