Least Common Multiple of 2864 and 2870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2864 and 2870 the smallest integer that is 4109840 that is divisible by both numbers.

Least Common Multiple (LCM) of 2864 and 2870 is 4109840.

LCM(2864,2870) = 4109840

LCM of 2864 and 2870

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

LCM of:
and

Least Common Multiple of 2864 and 2870

LCM of 2864 and 2870 is 4109840

Least common multiple can be found by multiplying the highest exponent prime factors of 2864 and 2870. First we will calculate the prime factors of 2864 and 2870.

Prime Factorization of 2864


2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 2864 are 2,179. Prime factorization of 2864 in exponential form is:

2864 = 24×1791

Prime Factorization of 2870


2 2870
5 1435
7 287
41 41
1

Prime factors of 2870 are 2, 5, 7,41. Prime factorization of 2870 in exponential form is:

2870 = 21×51×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2864 and 2870.

LCM(2864,2870) = 24×51×71×411×1791
LCM(2864,2870) = 4109840

Factors of 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864

Factors of 2870

List of positive integer factors of 2870 that divides 2870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870

Least Common Multiple of 2864 and 2870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2864 and 2870, than apply into the LCM equation.

GCF(2864,2870) = 2
LCM(2864,2870) = ( 2864 × 2870) / 2
LCM(2864,2870) = 8219680 / 2
LCM(2864,2870) = 4109840

Properties of LCM 2864 and 2870

(i) The LCM of 2870 and 2864 is associative

LCM of 2864 and 2870 = LCM of 2870 and 2864

Related Least Common Multiples of 2864

Related Least Common Multiples of 2870

Frequently Asked Questions on LCM of 2864 and 2870

1. What is the LCM of 2864 and 2870?

Answer: LCM of 2864 and 2870 is 4109840.

2. What are the Factors of 2864?

Answer: Factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864. There are 10 integers that are factors of 2864. The greatest factor of 2864 is 2864.

3. What are the Factors of 2870?

Answer: Factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870. There are 16 integers that are factors of 2870. The greatest factor of 2870 is 2870.

4. How to Find the LCM of 2864 and 2870?

Answer:

Least Common Multiple of 2864 and 2870 = 4109840

Step 1: Find the prime factorization of 2864

2864 = 2 x 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 2870

2870 = 2 x 5 x 7 x 41

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

LCM = 4109840 = 2 x 2 x 2 x 2 x 5 x 7 x 41 x 179

Step 4: Therefore, the least common multiple of 2864 and 2870 is 4109840.