Least Common Multiple of 875 and 882

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 882 the smallest integer that is 110250 that is divisible by both numbers.

Least Common Multiple (LCM) of 875 and 882 is 110250.

LCM(875,882) = 110250

LCM of 875 and 882

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

LCM of:
and

Least Common Multiple of 875 and 882

LCM of 875 and 882 is 110250

Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 882. First we will calculate the prime factors of 875 and 882.

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 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 882.

LCM(875,882) = 21×32×53×72
LCM(875,882) = 110250

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 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Least Common Multiple of 875 and 882 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 882, than apply into the LCM equation.

GCF(875,882) = 7
LCM(875,882) = ( 875 × 882) / 7
LCM(875,882) = 771750 / 7
LCM(875,882) = 110250

Properties of LCM 875 and 882

(i) The LCM of 882 and 875 is associative

LCM of 875 and 882 = LCM of 882 and 875

Related Least Common Multiples of 875

Related Least Common Multiples of 882

Frequently Asked Questions on LCM of 875 and 882

1. What is the LCM of 875 and 882?

Answer: LCM of 875 and 882 is 110250.

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 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

4. How to Find the LCM of 875 and 882?

Answer:

Least Common Multiple of 875 and 882 = 110250

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 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 = 110250 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 7

Step 4: Therefore, the least common multiple of 875 and 882 is 110250.