Least Common Multiple of 2838 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 2838 and 2845 the smallest integer that is 8074110 that is divisible by both numbers.

Least Common Multiple (LCM) of 2838 and 2845 is 8074110.

LCM(2838,2845) = 8074110

LCM of 2838 and 2845

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

LCM of:
and

Least Common Multiple of 2838 and 2845

LCM of 2838 and 2845 is 8074110

Least common multiple can be found by multiplying the highest exponent prime factors of 2838 and 2845. First we will calculate the prime factors of 2838 and 2845.

Prime Factorization of 2838


2 2838
3 1419
11 473
43 43
1

Prime factors of 2838 are 2, 3, 11,43. Prime factorization of 2838 in exponential form is:

2838 = 21×31×111×431

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 2838 and 2845.

LCM(2838,2845) = 21×31×51×111×431×5691
LCM(2838,2845) = 8074110

Factors of 2838

List of positive integer factors of 2838 that divides 2838 without a remainder.

1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838

Factors of 2845

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

1, 5, 569, 2845

Least Common Multiple of 2838 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 2838 and 2845, than apply into the LCM equation.

GCF(2838,2845) = 1
LCM(2838,2845) = ( 2838 × 2845) / 1
LCM(2838,2845) = 8074110 / 1
LCM(2838,2845) = 8074110

Properties of LCM 2838 and 2845

(i) The LCM of 2845 and 2838 is associative

LCM of 2838 and 2845 = LCM of 2845 and 2838

Related Least Common Multiples of 2838

Related Least Common Multiples of 2845

Frequently Asked Questions on LCM of 2838 and 2845

1. What is the LCM of 2838 and 2845?

Answer: LCM of 2838 and 2845 is 8074110.

2. What are the Factors of 2838?

Answer: Factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838. There are 16 integers that are factors of 2838. The greatest factor of 2838 is 2838.

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 2838 and 2845?

Answer:

Least Common Multiple of 2838 and 2845 = 8074110

Step 1: Find the prime factorization of 2838

2838 = 2 x 3 x 11 x 43

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 = 8074110 = 2 x 3 x 5 x 11 x 43 x 569

Step 4: Therefore, the least common multiple of 2838 and 2845 is 8074110.