Least Common Multiple of 873 and 874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 873 and 874 the smallest integer that is 763002 that is divisible by both numbers.

Least Common Multiple (LCM) of 873 and 874 is 763002.

LCM(873,874) = 763002

LCM of 873 and 874

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

LCM of:
and

Least Common Multiple of 873 and 874

LCM of 873 and 874 is 763002

Least common multiple can be found by multiplying the highest exponent prime factors of 873 and 874. First we will calculate the prime factors of 873 and 874.

Prime Factorization of 873


3 873
3 291
97 97
1

Prime factors of 873 are 3,97. Prime factorization of 873 in exponential form is:

873 = 32×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 873 and 874.

LCM(873,874) = 21×32×191×231×971
LCM(873,874) = 763002

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Factors of 874

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

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

Least Common Multiple of 873 and 874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 873 and 874, than apply into the LCM equation.

GCF(873,874) = 1
LCM(873,874) = ( 873 × 874) / 1
LCM(873,874) = 763002 / 1
LCM(873,874) = 763002

Properties of LCM 873 and 874

(i) The LCM of 874 and 873 is associative

LCM of 873 and 874 = LCM of 874 and 873

Related Least Common Multiples of 873

Related Least Common Multiples of 874

Frequently Asked Questions on LCM of 873 and 874

1. What is the LCM of 873 and 874?

Answer: LCM of 873 and 874 is 763002.

2. What are the Factors of 873?

Answer: Factors of 873 are 1, 3, 9, 97, 291, 873. There are 6 integers that are factors of 873. The greatest factor of 873 is 873.

3. 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.

4. How to Find the LCM of 873 and 874?

Answer:

Least Common Multiple of 873 and 874 = 763002

Step 1: Find the prime factorization of 873

873 = 3 x 3 x 97

Step 2: Find the prime factorization of 874

874 = 2 x 19 x 23

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

LCM = 763002 = 2 x 3 x 3 x 19 x 23 x 97

Step 4: Therefore, the least common multiple of 873 and 874 is 763002.