Least Common Multiple of 2858 and 2859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2858 and 2859 the smallest integer that is 8171022 that is divisible by both numbers.

Least Common Multiple (LCM) of 2858 and 2859 is 8171022.

LCM(2858,2859) = 8171022

LCM of 2858 and 2859

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

LCM of:
and

Least Common Multiple of 2858 and 2859

LCM of 2858 and 2859 is 8171022

Least common multiple can be found by multiplying the highest exponent prime factors of 2858 and 2859. First we will calculate the prime factors of 2858 and 2859.

Prime Factorization of 2858


2 2858
1429 1429
1

Prime factors of 2858 are 2,1429. Prime factorization of 2858 in exponential form is:

2858 = 21×14291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2858 and 2859.

LCM(2858,2859) = 21×31×9531×14291
LCM(2858,2859) = 8171022

Factors of 2858

List of positive integer factors of 2858 that divides 2858 without a remainder.

1, 2, 1429, 2858

Factors of 2859

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

1, 3, 953, 2859

Least Common Multiple of 2858 and 2859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2858 and 2859, than apply into the LCM equation.

GCF(2858,2859) = 1
LCM(2858,2859) = ( 2858 × 2859) / 1
LCM(2858,2859) = 8171022 / 1
LCM(2858,2859) = 8171022

Properties of LCM 2858 and 2859

(i) The LCM of 2859 and 2858 is associative

LCM of 2858 and 2859 = LCM of 2859 and 2858

Related Least Common Multiples of 2858

Related Least Common Multiples of 2859

Frequently Asked Questions on LCM of 2858 and 2859

1. What is the LCM of 2858 and 2859?

Answer: LCM of 2858 and 2859 is 8171022.

2. What are the Factors of 2858?

Answer: Factors of 2858 are 1, 2, 1429, 2858. There are 4 integers that are factors of 2858. The greatest factor of 2858 is 2858.

3. 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.

4. How to Find the LCM of 2858 and 2859?

Answer:

Least Common Multiple of 2858 and 2859 = 8171022

Step 1: Find the prime factorization of 2858

2858 = 2 x 1429

Step 2: Find the prime factorization of 2859

2859 = 3 x 953

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

LCM = 8171022 = 2 x 3 x 953 x 1429

Step 4: Therefore, the least common multiple of 2858 and 2859 is 8171022.