Least Common Multiple of 858 and 861

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 861 the smallest integer that is 246246 that is divisible by both numbers.

Least Common Multiple (LCM) of 858 and 861 is 246246.

LCM(858,861) = 246246

LCM of 858 and 861

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

LCM of:
and

Least Common Multiple of 858 and 861

LCM of 858 and 861 is 246246

Least common multiple can be found by multiplying the highest exponent prime factors of 858 and 861. First we will calculate the prime factors of 858 and 861.

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 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 858 and 861.

LCM(858,861) = 21×31×71×111×131×411
LCM(858,861) = 246246

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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Least Common Multiple of 858 and 861 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 861, than apply into the LCM equation.

GCF(858,861) = 3
LCM(858,861) = ( 858 × 861) / 3
LCM(858,861) = 738738 / 3
LCM(858,861) = 246246

Properties of LCM 858 and 861

(i) The LCM of 861 and 858 is associative

LCM of 858 and 861 = LCM of 861 and 858

Related Least Common Multiples of 858

Related Least Common Multiples of 861

Frequently Asked Questions on LCM of 858 and 861

1. What is the LCM of 858 and 861?

Answer: LCM of 858 and 861 is 246246.

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 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

4. How to Find the LCM of 858 and 861?

Answer:

Least Common Multiple of 858 and 861 = 246246

Step 1: Find the prime factorization of 858

858 = 2 x 3 x 11 x 13

Step 2: Find the prime factorization of 861

861 = 3 x 7 x 41

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

LCM = 246246 = 2 x 3 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 858 and 861 is 246246.