Least Common Multiple of 875 and 880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 875 and 880 the smallest integer that is 154000 that is divisible by both numbers.

Least Common Multiple (LCM) of 875 and 880 is 154000.

LCM(875,880) = 154000

LCM of 875 and 880

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

LCM of:
and

Least Common Multiple of 875 and 880

LCM of 875 and 880 is 154000

Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 880. First we will calculate the prime factors of 875 and 880.

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

Prime Factorization of 880


2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 880 are 2, 5,11. Prime factorization of 880 in exponential form is:

880 = 24×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 880.

LCM(875,880) = 24×53×71×111
LCM(875,880) = 154000

Factors of 875

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

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

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Least Common Multiple of 875 and 880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 875 and 880, than apply into the LCM equation.

GCF(875,880) = 5
LCM(875,880) = ( 875 × 880) / 5
LCM(875,880) = 770000 / 5
LCM(875,880) = 154000

Properties of LCM 875 and 880

(i) The LCM of 880 and 875 is associative

LCM of 875 and 880 = LCM of 880 and 875

Related Least Common Multiples of 875

Related Least Common Multiples of 880

Frequently Asked Questions on LCM of 875 and 880

1. What is the LCM of 875 and 880?

Answer: LCM of 875 and 880 is 154000.

2. 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.

3. What are the Factors of 880?

Answer: Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. There are 20 integers that are factors of 880. The greatest factor of 880 is 880.

4. How to Find the LCM of 875 and 880?

Answer:

Least Common Multiple of 875 and 880 = 154000

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 880

880 = 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 154000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 875 and 880 is 154000.