Least Common Multiple of 868 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 868 and 876 the smallest integer that is 190092 that is divisible by both numbers.

Least Common Multiple (LCM) of 868 and 876 is 190092.

LCM(868,876) = 190092

LCM of 868 and 876

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

LCM of:
and

Least Common Multiple of 868 and 876

LCM of 868 and 876 is 190092

Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 876. First we will calculate the prime factors of 868 and 876.

Prime Factorization of 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

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 868 and 876.

LCM(868,876) = 22×31×71×311×731
LCM(868,876) = 190092

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 868 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 868 and 876, than apply into the LCM equation.

GCF(868,876) = 4
LCM(868,876) = ( 868 × 876) / 4
LCM(868,876) = 760368 / 4
LCM(868,876) = 190092

Properties of LCM 868 and 876

(i) The LCM of 876 and 868 is associative

LCM of 868 and 876 = LCM of 876 and 868

Related Least Common Multiples of 868

Related Least Common Multiples of 876

Frequently Asked Questions on LCM of 868 and 876

1. What is the LCM of 868 and 876?

Answer: LCM of 868 and 876 is 190092.

2. What are the Factors of 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

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 868 and 876?

Answer:

Least Common Multiple of 868 and 876 = 190092

Step 1: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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 = 190092 = 2 x 2 x 3 x 7 x 31 x 73

Step 4: Therefore, the least common multiple of 868 and 876 is 190092.