Least Common Multiple of 870 and 875

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 875 the smallest integer that is 152250 that is divisible by both numbers.

Least Common Multiple (LCM) of 870 and 875 is 152250.

LCM(870,875) = 152250

LCM of 870 and 875

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

LCM of:
and

Least Common Multiple of 870 and 875

LCM of 870 and 875 is 152250

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 875. First we will calculate the prime factors of 870 and 875.

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 875


5 875
5 175
5 35
7 7
1

Prime factors of 875 are 5,7. Prime factorization of 875 in exponential form is:

875 = 53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 875.

LCM(870,875) = 21×31×53×71×291
LCM(870,875) = 152250

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 875

List of positive integer factors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Least Common Multiple of 870 and 875 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 875, than apply into the LCM equation.

GCF(870,875) = 5
LCM(870,875) = ( 870 × 875) / 5
LCM(870,875) = 761250 / 5
LCM(870,875) = 152250

Properties of LCM 870 and 875

(i) The LCM of 875 and 870 is associative

LCM of 870 and 875 = LCM of 875 and 870

Related Least Common Multiples of 870

Related Least Common Multiples of 875

Frequently Asked Questions on LCM of 870 and 875

1. What is the LCM of 870 and 875?

Answer: LCM of 870 and 875 is 152250.

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 875?

Answer: Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. There are 8 integers that are factors of 875. The greatest factor of 875 is 875.

4. How to Find the LCM of 870 and 875?

Answer:

Least Common Multiple of 870 and 875 = 152250

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

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

LCM = 152250 = 2 x 3 x 5 x 5 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 870 and 875 is 152250.