Least Common Multiple of 874 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 874 and 876 the smallest integer that is 382812 that is divisible by both numbers.

Least Common Multiple (LCM) of 874 and 876 is 382812.

LCM(874,876) = 382812

LCM of 874 and 876

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

LCM of:
and

Least Common Multiple of 874 and 876

LCM of 874 and 876 is 382812

Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 876. First we will calculate the prime factors of 874 and 876.

Prime Factorization of 874


2 874
19 437
23 23
1

Prime factors of 874 are 2, 19,23. Prime factorization of 874 in exponential form is:

874 = 21×191×231

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 874 and 876.

LCM(874,876) = 22×31×191×231×731
LCM(874,876) = 382812

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 874 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 874 and 876, than apply into the LCM equation.

GCF(874,876) = 2
LCM(874,876) = ( 874 × 876) / 2
LCM(874,876) = 765624 / 2
LCM(874,876) = 382812

Properties of LCM 874 and 876

(i) The LCM of 876 and 874 is associative

LCM of 874 and 876 = LCM of 876 and 874

Related Least Common Multiples of 874

Related Least Common Multiples of 876

Frequently Asked Questions on LCM of 874 and 876

1. What is the LCM of 874 and 876?

Answer: LCM of 874 and 876 is 382812.

2. What are the Factors of 874?

Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.

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 874 and 876?

Answer:

Least Common Multiple of 874 and 876 = 382812

Step 1: Find the prime factorization of 874

874 = 2 x 19 x 23

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 = 382812 = 2 x 2 x 3 x 19 x 23 x 73

Step 4: Therefore, the least common multiple of 874 and 876 is 382812.