Least Common Multiple of 2839 and 2846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2839 and 2846 the smallest integer that is 8079794 that is divisible by both numbers.

Least Common Multiple (LCM) of 2839 and 2846 is 8079794.

LCM(2839,2846) = 8079794

LCM of 2839 and 2846

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

LCM of:
and

Least Common Multiple of 2839 and 2846

LCM of 2839 and 2846 is 8079794

Least common multiple can be found by multiplying the highest exponent prime factors of 2839 and 2846. First we will calculate the prime factors of 2839 and 2846.

Prime Factorization of 2839


17 2839
167 167
1

Prime factors of 2839 are 17,167. Prime factorization of 2839 in exponential form is:

2839 = 171×1671

Prime Factorization of 2846


2 2846
1423 1423
1

Prime factors of 2846 are 2,1423. Prime factorization of 2846 in exponential form is:

2846 = 21×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 2839 and 2846.

LCM(2839,2846) = 21×171×1671×14231
LCM(2839,2846) = 8079794

Factors of 2839

List of positive integer factors of 2839 that divides 2839 without a remainder.

1, 17, 167, 2839

Factors of 2846

List of positive integer factors of 2846 that divides 2846 without a remainder.

1, 2, 1423, 2846

Least Common Multiple of 2839 and 2846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2839 and 2846, than apply into the LCM equation.

GCF(2839,2846) = 1
LCM(2839,2846) = ( 2839 × 2846) / 1
LCM(2839,2846) = 8079794 / 1
LCM(2839,2846) = 8079794

Properties of LCM 2839 and 2846

(i) The LCM of 2846 and 2839 is associative

LCM of 2839 and 2846 = LCM of 2846 and 2839

Related Least Common Multiples of 2839

Related Least Common Multiples of 2846

Frequently Asked Questions on LCM of 2839 and 2846

1. What is the LCM of 2839 and 2846?

Answer: LCM of 2839 and 2846 is 8079794.

2. What are the Factors of 2839?

Answer: Factors of 2839 are 1, 17, 167, 2839. There are 4 integers that are factors of 2839. The greatest factor of 2839 is 2839.

3. What are the Factors of 2846?

Answer: Factors of 2846 are 1, 2, 1423, 2846. There are 4 integers that are factors of 2846. The greatest factor of 2846 is 2846.

4. How to Find the LCM of 2839 and 2846?

Answer:

Least Common Multiple of 2839 and 2846 = 8079794

Step 1: Find the prime factorization of 2839

2839 = 17 x 167

Step 2: Find the prime factorization of 2846

2846 = 2 x 1423

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

LCM = 8079794 = 2 x 17 x 167 x 1423

Step 4: Therefore, the least common multiple of 2839 and 2846 is 8079794.