Least Common Multiple of 2823 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 2823 and 2827 the smallest integer that is 7980621 that is divisible by both numbers.

Least Common Multiple (LCM) of 2823 and 2827 is 7980621.

LCM(2823,2827) = 7980621

LCM of 2823 and 2827

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

LCM of:
and

Least Common Multiple of 2823 and 2827

LCM of 2823 and 2827 is 7980621

Least common multiple can be found by multiplying the highest exponent prime factors of 2823 and 2827. First we will calculate the prime factors of 2823 and 2827.

Prime Factorization of 2823


3 2823
941 941
1

Prime factors of 2823 are 3,941. Prime factorization of 2823 in exponential form is:

2823 = 31×9411

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 2823 and 2827.

LCM(2823,2827) = 31×111×2571×9411
LCM(2823,2827) = 7980621

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1, 3, 941, 2823

Factors of 2827

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

1, 11, 257, 2827

Least Common Multiple of 2823 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 2823 and 2827, than apply into the LCM equation.

GCF(2823,2827) = 1
LCM(2823,2827) = ( 2823 × 2827) / 1
LCM(2823,2827) = 7980621 / 1
LCM(2823,2827) = 7980621

Properties of LCM 2823 and 2827

(i) The LCM of 2827 and 2823 is associative

LCM of 2823 and 2827 = LCM of 2827 and 2823

Related Least Common Multiples of 2823

Related Least Common Multiples of 2827

Frequently Asked Questions on LCM of 2823 and 2827

1. What is the LCM of 2823 and 2827?

Answer: LCM of 2823 and 2827 is 7980621.

2. What are the Factors of 2823?

Answer: Factors of 2823 are 1, 3, 941, 2823. There are 4 integers that are factors of 2823. The greatest factor of 2823 is 2823.

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 2823 and 2827?

Answer:

Least Common Multiple of 2823 and 2827 = 7980621

Step 1: Find the prime factorization of 2823

2823 = 3 x 941

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 = 7980621 = 3 x 11 x 257 x 941

Step 4: Therefore, the least common multiple of 2823 and 2827 is 7980621.