Least Common Multiple of 2839 and 2845

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 2845 the smallest integer that is 8076955 that is divisible by both numbers.

Least Common Multiple (LCM) of 2839 and 2845 is 8076955.

LCM(2839,2845) = 8076955

LCM of 2839 and 2845

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

LCM of:
and

Least Common Multiple of 2839 and 2845

LCM of 2839 and 2845 is 8076955

Least common multiple can be found by multiplying the highest exponent prime factors of 2839 and 2845. First we will calculate the prime factors of 2839 and 2845.

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 2845


5 2845
569 569
1

Prime factors of 2845 are 5,569. Prime factorization of 2845 in exponential form is:

2845 = 51×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 2839 and 2845.

LCM(2839,2845) = 51×171×1671×5691
LCM(2839,2845) = 8076955

Factors of 2839

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

1, 17, 167, 2839

Factors of 2845

List of positive integer factors of 2845 that divides 2845 without a remainder.

1, 5, 569, 2845

Least Common Multiple of 2839 and 2845 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 2845, than apply into the LCM equation.

GCF(2839,2845) = 1
LCM(2839,2845) = ( 2839 × 2845) / 1
LCM(2839,2845) = 8076955 / 1
LCM(2839,2845) = 8076955

Properties of LCM 2839 and 2845

(i) The LCM of 2845 and 2839 is associative

LCM of 2839 and 2845 = LCM of 2845 and 2839

Related Least Common Multiples of 2839

Related Least Common Multiples of 2845

Frequently Asked Questions on LCM of 2839 and 2845

1. What is the LCM of 2839 and 2845?

Answer: LCM of 2839 and 2845 is 8076955.

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 2845?

Answer: Factors of 2845 are 1, 5, 569, 2845. There are 4 integers that are factors of 2845. The greatest factor of 2845 is 2845.

4. How to Find the LCM of 2839 and 2845?

Answer:

Least Common Multiple of 2839 and 2845 = 8076955

Step 1: Find the prime factorization of 2839

2839 = 17 x 167

Step 2: Find the prime factorization of 2845

2845 = 5 x 569

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

LCM = 8076955 = 5 x 17 x 167 x 569

Step 4: Therefore, the least common multiple of 2839 and 2845 is 8076955.