Least Common Multiple of 866 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 866 and 874 the smallest integer that is 378442 that is divisible by both numbers.

Least Common Multiple (LCM) of 866 and 874 is 378442.

LCM(866,874) = 378442

LCM of 866 and 874

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

LCM of:
and

Least Common Multiple of 866 and 874

LCM of 866 and 874 is 378442

Least common multiple can be found by multiplying the highest exponent prime factors of 866 and 874. First we will calculate the prime factors of 866 and 874.

Prime Factorization of 866


2 866
433 433
1

Prime factors of 866 are 2,433. Prime factorization of 866 in exponential form is:

866 = 21×4331

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 866 and 874.

LCM(866,874) = 21×191×231×4331
LCM(866,874) = 378442

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 866 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 866 and 874, than apply into the LCM equation.

GCF(866,874) = 2
LCM(866,874) = ( 866 × 874) / 2
LCM(866,874) = 756884 / 2
LCM(866,874) = 378442

Properties of LCM 866 and 874

(i) The LCM of 874 and 866 is associative

LCM of 866 and 874 = LCM of 874 and 866

Related Least Common Multiples of 866

Related Least Common Multiples of 874

Frequently Asked Questions on LCM of 866 and 874

1. What is the LCM of 866 and 874?

Answer: LCM of 866 and 874 is 378442.

2. What are the Factors of 866?

Answer: Factors of 866 are 1, 2, 433, 866. There are 4 integers that are factors of 866. The greatest factor of 866 is 866.

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 866 and 874?

Answer:

Least Common Multiple of 866 and 874 = 378442

Step 1: Find the prime factorization of 866

866 = 2 x 433

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 = 378442 = 2 x 19 x 23 x 433

Step 4: Therefore, the least common multiple of 866 and 874 is 378442.