Least Common Multiple of 2818 and 2823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2818 and 2823 the smallest integer that is 7955214 that is divisible by both numbers.

Least Common Multiple (LCM) of 2818 and 2823 is 7955214.

LCM(2818,2823) = 7955214

LCM of 2818 and 2823

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

LCM of:
and

Least Common Multiple of 2818 and 2823

LCM of 2818 and 2823 is 7955214

Least common multiple can be found by multiplying the highest exponent prime factors of 2818 and 2823. First we will calculate the prime factors of 2818 and 2823.

Prime Factorization of 2818


2 2818
1409 1409
1

Prime factors of 2818 are 2,1409. Prime factorization of 2818 in exponential form is:

2818 = 21×14091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2818 and 2823.

LCM(2818,2823) = 21×31×9411×14091
LCM(2818,2823) = 7955214

Factors of 2818

List of positive integer factors of 2818 that divides 2818 without a remainder.

1, 2, 1409, 2818

Factors of 2823

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

1, 3, 941, 2823

Least Common Multiple of 2818 and 2823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2818 and 2823, than apply into the LCM equation.

GCF(2818,2823) = 1
LCM(2818,2823) = ( 2818 × 2823) / 1
LCM(2818,2823) = 7955214 / 1
LCM(2818,2823) = 7955214

Properties of LCM 2818 and 2823

(i) The LCM of 2823 and 2818 is associative

LCM of 2818 and 2823 = LCM of 2823 and 2818

Related Least Common Multiples of 2818

Related Least Common Multiples of 2823

Frequently Asked Questions on LCM of 2818 and 2823

1. What is the LCM of 2818 and 2823?

Answer: LCM of 2818 and 2823 is 7955214.

2. What are the Factors of 2818?

Answer: Factors of 2818 are 1, 2, 1409, 2818. There are 4 integers that are factors of 2818. The greatest factor of 2818 is 2818.

3. 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.

4. How to Find the LCM of 2818 and 2823?

Answer:

Least Common Multiple of 2818 and 2823 = 7955214

Step 1: Find the prime factorization of 2818

2818 = 2 x 1409

Step 2: Find the prime factorization of 2823

2823 = 3 x 941

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

LCM = 7955214 = 2 x 3 x 941 x 1409

Step 4: Therefore, the least common multiple of 2818 and 2823 is 7955214.