Least Common Multiple of 870 and 872

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 872 the smallest integer that is 379320 that is divisible by both numbers.

Least Common Multiple (LCM) of 870 and 872 is 379320.

LCM(870,872) = 379320

LCM of 870 and 872

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

LCM of:
and

Least Common Multiple of 870 and 872

LCM of 870 and 872 is 379320

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 872. First we will calculate the prime factors of 870 and 872.

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 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 872.

LCM(870,872) = 23×31×51×291×1091
LCM(870,872) = 379320

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 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Least Common Multiple of 870 and 872 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 872, than apply into the LCM equation.

GCF(870,872) = 2
LCM(870,872) = ( 870 × 872) / 2
LCM(870,872) = 758640 / 2
LCM(870,872) = 379320

Properties of LCM 870 and 872

(i) The LCM of 872 and 870 is associative

LCM of 870 and 872 = LCM of 872 and 870

Related Least Common Multiples of 870

Related Least Common Multiples of 872

Frequently Asked Questions on LCM of 870 and 872

1. What is the LCM of 870 and 872?

Answer: LCM of 870 and 872 is 379320.

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 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

4. How to Find the LCM of 870 and 872?

Answer:

Least Common Multiple of 870 and 872 = 379320

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

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

LCM = 379320 = 2 x 2 x 2 x 3 x 5 x 29 x 109

Step 4: Therefore, the least common multiple of 870 and 872 is 379320.