Least Common Multiple of 872 and 876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 872 and 876 the smallest integer that is 190968 that is divisible by both numbers.

Least Common Multiple (LCM) of 872 and 876 is 190968.

LCM(872,876) = 190968

LCM of 872 and 876

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

LCM of:
and

Least Common Multiple of 872 and 876

LCM of 872 and 876 is 190968

Least common multiple can be found by multiplying the highest exponent prime factors of 872 and 876. First we will calculate the prime factors of 872 and 876.

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

Prime Factorization of 876


2 876
2 438
3 219
73 73
1

Prime factors of 876 are 2, 3,73. Prime factorization of 876 in exponential form is:

876 = 22×31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 872 and 876.

LCM(872,876) = 23×31×731×1091
LCM(872,876) = 190968

Factors of 872

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

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

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Least Common Multiple of 872 and 876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 872 and 876, than apply into the LCM equation.

GCF(872,876) = 4
LCM(872,876) = ( 872 × 876) / 4
LCM(872,876) = 763872 / 4
LCM(872,876) = 190968

Properties of LCM 872 and 876

(i) The LCM of 876 and 872 is associative

LCM of 872 and 876 = LCM of 876 and 872

Related Least Common Multiples of 872

Related Least Common Multiples of 876

Frequently Asked Questions on LCM of 872 and 876

1. What is the LCM of 872 and 876?

Answer: LCM of 872 and 876 is 190968.

2. 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.

3. What are the Factors of 876?

Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.

4. How to Find the LCM of 872 and 876?

Answer:

Least Common Multiple of 872 and 876 = 190968

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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

LCM = 190968 = 2 x 2 x 2 x 3 x 73 x 109

Step 4: Therefore, the least common multiple of 872 and 876 is 190968.