Least Common Multiple of 858 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 858 and 866 the smallest integer that is 371514 that is divisible by both numbers.

Least Common Multiple (LCM) of 858 and 866 is 371514.

LCM(858,866) = 371514

LCM of 858 and 866

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

LCM of:
and

Least Common Multiple of 858 and 866

LCM of 858 and 866 is 371514

Least common multiple can be found by multiplying the highest exponent prime factors of 858 and 866. First we will calculate the prime factors of 858 and 866.

Prime Factorization of 858


2 858
3 429
11 143
13 13
1

Prime factors of 858 are 2, 3, 11,13. Prime factorization of 858 in exponential form is:

858 = 21×31×111×131

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 858 and 866.

LCM(858,866) = 21×31×111×131×4331
LCM(858,866) = 371514

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Factors of 866

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

1, 2, 433, 866

Least Common Multiple of 858 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 858 and 866, than apply into the LCM equation.

GCF(858,866) = 2
LCM(858,866) = ( 858 × 866) / 2
LCM(858,866) = 743028 / 2
LCM(858,866) = 371514

Properties of LCM 858 and 866

(i) The LCM of 866 and 858 is associative

LCM of 858 and 866 = LCM of 866 and 858

Related Least Common Multiples of 858

Related Least Common Multiples of 866

Frequently Asked Questions on LCM of 858 and 866

1. What is the LCM of 858 and 866?

Answer: LCM of 858 and 866 is 371514.

2. What are the Factors of 858?

Answer: Factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. There are 16 integers that are factors of 858. The greatest factor of 858 is 858.

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 858 and 866?

Answer:

Least Common Multiple of 858 and 866 = 371514

Step 1: Find the prime factorization of 858

858 = 2 x 3 x 11 x 13

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 = 371514 = 2 x 3 x 11 x 13 x 433

Step 4: Therefore, the least common multiple of 858 and 866 is 371514.