Least Common Multiple of 874 and 878

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 878 the smallest integer that is 383686 that is divisible by both numbers.

Least Common Multiple (LCM) of 874 and 878 is 383686.

LCM(874,878) = 383686

LCM of 874 and 878

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

LCM of:
and

Least Common Multiple of 874 and 878

LCM of 874 and 878 is 383686

Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 878. First we will calculate the prime factors of 874 and 878.

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 878


2 878
439 439
1

Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:

878 = 21×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 878.

LCM(874,878) = 21×191×231×4391
LCM(874,878) = 383686

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 878

List of positive integer factors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Least Common Multiple of 874 and 878 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 878, than apply into the LCM equation.

GCF(874,878) = 2
LCM(874,878) = ( 874 × 878) / 2
LCM(874,878) = 767372 / 2
LCM(874,878) = 383686

Properties of LCM 874 and 878

(i) The LCM of 878 and 874 is associative

LCM of 874 and 878 = LCM of 878 and 874

Related Least Common Multiples of 874

Related Least Common Multiples of 878

Frequently Asked Questions on LCM of 874 and 878

1. What is the LCM of 874 and 878?

Answer: LCM of 874 and 878 is 383686.

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 878?

Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.

4. How to Find the LCM of 874 and 878?

Answer:

Least Common Multiple of 874 and 878 = 383686

Step 1: Find the prime factorization of 874

874 = 2 x 19 x 23

Step 2: Find the prime factorization of 878

878 = 2 x 439

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

LCM = 383686 = 2 x 19 x 23 x 439

Step 4: Therefore, the least common multiple of 874 and 878 is 383686.