Least Common Multiple of 2833 and 2840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2833 and 2840 the smallest integer that is 8045720 that is divisible by both numbers.

Least Common Multiple (LCM) of 2833 and 2840 is 8045720.

LCM(2833,2840) = 8045720

LCM of 2833 and 2840

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

LCM of:
and

Least Common Multiple of 2833 and 2840

LCM of 2833 and 2840 is 8045720

Least common multiple can be found by multiplying the highest exponent prime factors of 2833 and 2840. First we will calculate the prime factors of 2833 and 2840.

Prime Factorization of 2833


2833 2833
1

Prime factors of 2833 are 2833. Prime factorization of 2833 in exponential form is:

2833 = 28331

Prime Factorization of 2840


2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 2840 are 2, 5,71. Prime factorization of 2840 in exponential form is:

2840 = 23×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2833 and 2840.

LCM(2833,2840) = 23×51×711×28331
LCM(2833,2840) = 8045720

Factors of 2833

List of positive integer factors of 2833 that divides 2833 without a remainder.

1, 2833

Factors of 2840

List of positive integer factors of 2840 that divides 2840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840

Least Common Multiple of 2833 and 2840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2833 and 2840, than apply into the LCM equation.

GCF(2833,2840) = 1
LCM(2833,2840) = ( 2833 × 2840) / 1
LCM(2833,2840) = 8045720 / 1
LCM(2833,2840) = 8045720

Properties of LCM 2833 and 2840

(i) The LCM of 2840 and 2833 is associative

LCM of 2833 and 2840 = LCM of 2840 and 2833

Related Least Common Multiples of 2833

Related Least Common Multiples of 2840

Frequently Asked Questions on LCM of 2833 and 2840

1. What is the LCM of 2833 and 2840?

Answer: LCM of 2833 and 2840 is 8045720.

2. What are the Factors of 2833?

Answer: Factors of 2833 are 1, 2833. There are 2 integers that are factors of 2833. The greatest factor of 2833 is 2833.

3. What are the Factors of 2840?

Answer: Factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840. There are 16 integers that are factors of 2840. The greatest factor of 2840 is 2840.

4. How to Find the LCM of 2833 and 2840?

Answer:

Least Common Multiple of 2833 and 2840 = 8045720

Step 1: Find the prime factorization of 2833

2833 = 2833

Step 2: Find the prime factorization of 2840

2840 = 2 x 2 x 2 x 5 x 71

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

LCM = 8045720 = 2 x 2 x 2 x 5 x 71 x 2833

Step 4: Therefore, the least common multiple of 2833 and 2840 is 8045720.