Least Common Multiple of 855 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 855 and 861 the smallest integer that is 245385 that is divisible by both numbers.

Least Common Multiple (LCM) of 855 and 861 is 245385.

LCM(855,861) = 245385

LCM of 855 and 861

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

LCM of:
and

Least Common Multiple of 855 and 861

LCM of 855 and 861 is 245385

Least common multiple can be found by multiplying the highest exponent prime factors of 855 and 861. First we will calculate the prime factors of 855 and 861.

Prime Factorization of 855


3 855
3 285
5 95
19 19
1

Prime factors of 855 are 3, 5,19. Prime factorization of 855 in exponential form is:

855 = 32×51×191

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 855 and 861.

LCM(855,861) = 32×51×71×191×411
LCM(855,861) = 245385

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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 855 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 855 and 861, than apply into the LCM equation.

GCF(855,861) = 3
LCM(855,861) = ( 855 × 861) / 3
LCM(855,861) = 736155 / 3
LCM(855,861) = 245385

Properties of LCM 855 and 861

(i) The LCM of 861 and 855 is associative

LCM of 855 and 861 = LCM of 861 and 855

Related Least Common Multiples of 855

Related Least Common Multiples of 861

Frequently Asked Questions on LCM of 855 and 861

1. What is the LCM of 855 and 861?

Answer: LCM of 855 and 861 is 245385.

2. What are the Factors of 855?

Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.

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 855 and 861?

Answer:

Least Common Multiple of 855 and 861 = 245385

Step 1: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

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 = 245385 = 3 x 3 x 5 x 7 x 19 x 41

Step 4: Therefore, the least common multiple of 855 and 861 is 245385.