Least Common Multiple of 2859 and 2862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2859 and 2862 the smallest integer that is 2727486 that is divisible by both numbers.

Least Common Multiple (LCM) of 2859 and 2862 is 2727486.

LCM(2859,2862) = 2727486

LCM of 2859 and 2862

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

LCM of:
and

Least Common Multiple of 2859 and 2862

LCM of 2859 and 2862 is 2727486

Least common multiple can be found by multiplying the highest exponent prime factors of 2859 and 2862. First we will calculate the prime factors of 2859 and 2862.

Prime Factorization of 2859


3 2859
953 953
1

Prime factors of 2859 are 3,953. Prime factorization of 2859 in exponential form is:

2859 = 31×9531

Prime Factorization of 2862


2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 2862 are 2, 3,53. Prime factorization of 2862 in exponential form is:

2862 = 21×33×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2859 and 2862.

LCM(2859,2862) = 21×33×531×9531
LCM(2859,2862) = 2727486

Factors of 2859

List of positive integer factors of 2859 that divides 2859 without a remainder.

1, 3, 953, 2859

Factors of 2862

List of positive integer factors of 2862 that divides 2862 without a remainder.

1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862

Least Common Multiple of 2859 and 2862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2859 and 2862, than apply into the LCM equation.

GCF(2859,2862) = 3
LCM(2859,2862) = ( 2859 × 2862) / 3
LCM(2859,2862) = 8182458 / 3
LCM(2859,2862) = 2727486

Properties of LCM 2859 and 2862

(i) The LCM of 2862 and 2859 is associative

LCM of 2859 and 2862 = LCM of 2862 and 2859

Related Least Common Multiples of 2859

Related Least Common Multiples of 2862

Frequently Asked Questions on LCM of 2859 and 2862

1. What is the LCM of 2859 and 2862?

Answer: LCM of 2859 and 2862 is 2727486.

2. What are the Factors of 2859?

Answer: Factors of 2859 are 1, 3, 953, 2859. There are 4 integers that are factors of 2859. The greatest factor of 2859 is 2859.

3. What are the Factors of 2862?

Answer: Factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862. There are 16 integers that are factors of 2862. The greatest factor of 2862 is 2862.

4. How to Find the LCM of 2859 and 2862?

Answer:

Least Common Multiple of 2859 and 2862 = 2727486

Step 1: Find the prime factorization of 2859

2859 = 3 x 953

Step 2: Find the prime factorization of 2862

2862 = 2 x 3 x 3 x 3 x 53

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

LCM = 2727486 = 2 x 3 x 3 x 3 x 53 x 953

Step 4: Therefore, the least common multiple of 2859 and 2862 is 2727486.