Least Common Multiple of 2870 and 2877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2870 and 2877 the smallest integer that is 1179570 that is divisible by both numbers.

Least Common Multiple (LCM) of 2870 and 2877 is 1179570.

LCM(2870,2877) = 1179570

LCM of 2870 and 2877

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

LCM of:
and

Least Common Multiple of 2870 and 2877

LCM of 2870 and 2877 is 1179570

Least common multiple can be found by multiplying the highest exponent prime factors of 2870 and 2877. First we will calculate the prime factors of 2870 and 2877.

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

Prime Factorization of 2877


3 2877
7 959
137 137
1

Prime factors of 2877 are 3, 7,137. Prime factorization of 2877 in exponential form is:

2877 = 31×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2870 and 2877.

LCM(2870,2877) = 21×31×51×71×411×1371
LCM(2870,2877) = 1179570

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

Factors of 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1, 3, 7, 21, 137, 411, 959, 2877

Least Common Multiple of 2870 and 2877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2870 and 2877, than apply into the LCM equation.

GCF(2870,2877) = 7
LCM(2870,2877) = ( 2870 × 2877) / 7
LCM(2870,2877) = 8256990 / 7
LCM(2870,2877) = 1179570

Properties of LCM 2870 and 2877

(i) The LCM of 2877 and 2870 is associative

LCM of 2870 and 2877 = LCM of 2877 and 2870

Related Least Common Multiples of 2870

Related Least Common Multiples of 2877

Frequently Asked Questions on LCM of 2870 and 2877

1. What is the LCM of 2870 and 2877?

Answer: LCM of 2870 and 2877 is 1179570.

2. 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.

3. What are the Factors of 2877?

Answer: Factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877. There are 8 integers that are factors of 2877. The greatest factor of 2877 is 2877.

4. How to Find the LCM of 2870 and 2877?

Answer:

Least Common Multiple of 2870 and 2877 = 1179570

Step 1: Find the prime factorization of 2870

2870 = 2 x 5 x 7 x 41

Step 2: Find the prime factorization of 2877

2877 = 3 x 7 x 137

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

LCM = 1179570 = 2 x 3 x 5 x 7 x 41 x 137

Step 4: Therefore, the least common multiple of 2870 and 2877 is 1179570.