Least Common Multiple of 865 and 866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 865 and 866 the smallest integer that is 749090 that is divisible by both numbers.

Least Common Multiple (LCM) of 865 and 866 is 749090.

LCM(865,866) = 749090

LCM of 865 and 866

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

LCM of:
and

Least Common Multiple of 865 and 866

LCM of 865 and 866 is 749090

Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 866. First we will calculate the prime factors of 865 and 866.

Prime Factorization of 865


5 865
173 173
1

Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:

865 = 51×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 865 and 866.

LCM(865,866) = 21×51×1731×4331
LCM(865,866) = 749090

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Factors of 866

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

1, 2, 433, 866

Least Common Multiple of 865 and 866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 865 and 866, than apply into the LCM equation.

GCF(865,866) = 1
LCM(865,866) = ( 865 × 866) / 1
LCM(865,866) = 749090 / 1
LCM(865,866) = 749090

Properties of LCM 865 and 866

(i) The LCM of 866 and 865 is associative

LCM of 865 and 866 = LCM of 866 and 865

Related Least Common Multiples of 865

Related Least Common Multiples of 866

Frequently Asked Questions on LCM of 865 and 866

1. What is the LCM of 865 and 866?

Answer: LCM of 865 and 866 is 749090.

2. What are the Factors of 865?

Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.

3. 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.

4. How to Find the LCM of 865 and 866?

Answer:

Least Common Multiple of 865 and 866 = 749090

Step 1: Find the prime factorization of 865

865 = 5 x 173

Step 2: Find the prime factorization of 866

866 = 2 x 433

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

LCM = 749090 = 2 x 5 x 173 x 433

Step 4: Therefore, the least common multiple of 865 and 866 is 749090.