Least Common Multiple of 870 and 871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 870 and 871 the smallest integer that is 757770 that is divisible by both numbers.

Least Common Multiple (LCM) of 870 and 871 is 757770.

LCM(870,871) = 757770

LCM of 870 and 871

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

LCM of:
and

Least Common Multiple of 870 and 871

LCM of 870 and 871 is 757770

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 871. First we will calculate the prime factors of 870 and 871.

Prime Factorization of 870


2 870
3 435
5 145
29 29
1

Prime factors of 870 are 2, 3, 5,29. Prime factorization of 870 in exponential form is:

870 = 21×31×51×291

Prime Factorization of 871


13 871
67 67
1

Prime factors of 871 are 13,67. Prime factorization of 871 in exponential form is:

871 = 131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 871.

LCM(870,871) = 21×31×51×131×291×671
LCM(870,871) = 757770

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Least Common Multiple of 870 and 871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 870 and 871, than apply into the LCM equation.

GCF(870,871) = 1
LCM(870,871) = ( 870 × 871) / 1
LCM(870,871) = 757770 / 1
LCM(870,871) = 757770

Properties of LCM 870 and 871

(i) The LCM of 871 and 870 is associative

LCM of 870 and 871 = LCM of 871 and 870

Related Least Common Multiples of 870

Related Least Common Multiples of 871

Frequently Asked Questions on LCM of 870 and 871

1. What is the LCM of 870 and 871?

Answer: LCM of 870 and 871 is 757770.

2. What are the Factors of 870?

Answer: Factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870. There are 16 integers that are factors of 870. The greatest factor of 870 is 870.

3. What are the Factors of 871?

Answer: Factors of 871 are 1, 13, 67, 871. There are 4 integers that are factors of 871. The greatest factor of 871 is 871.

4. How to Find the LCM of 870 and 871?

Answer:

Least Common Multiple of 870 and 871 = 757770

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 871

871 = 13 x 67

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

LCM = 757770 = 2 x 3 x 5 x 13 x 29 x 67

Step 4: Therefore, the least common multiple of 870 and 871 is 757770.