Least Common Multiple of 866 and 872

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 872 the smallest integer that is 377576 that is divisible by both numbers.

Least Common Multiple (LCM) of 866 and 872 is 377576.

LCM(866,872) = 377576

LCM of 866 and 872

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

LCM of:
and

Least Common Multiple of 866 and 872

LCM of 866 and 872 is 377576

Least common multiple can be found by multiplying the highest exponent prime factors of 866 and 872. First we will calculate the prime factors of 866 and 872.

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 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 866 and 872.

LCM(866,872) = 23×1091×4331
LCM(866,872) = 377576

Factors of 866

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

1, 2, 433, 866

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Least Common Multiple of 866 and 872 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 872, than apply into the LCM equation.

GCF(866,872) = 2
LCM(866,872) = ( 866 × 872) / 2
LCM(866,872) = 755152 / 2
LCM(866,872) = 377576

Properties of LCM 866 and 872

(i) The LCM of 872 and 866 is associative

LCM of 866 and 872 = LCM of 872 and 866

Related Least Common Multiples of 866

Related Least Common Multiples of 872

Frequently Asked Questions on LCM of 866 and 872

1. What is the LCM of 866 and 872?

Answer: LCM of 866 and 872 is 377576.

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 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

4. How to Find the LCM of 866 and 872?

Answer:

Least Common Multiple of 866 and 872 = 377576

Step 1: Find the prime factorization of 866

866 = 2 x 433

Step 2: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

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

LCM = 377576 = 2 x 2 x 2 x 109 x 433

Step 4: Therefore, the least common multiple of 866 and 872 is 377576.