Least Common Multiple of 851 and 855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 851 and 855 the smallest integer that is 727605 that is divisible by both numbers.

Least Common Multiple (LCM) of 851 and 855 is 727605.

LCM(851,855) = 727605

LCM of 851 and 855

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

LCM of:
and

Least Common Multiple of 851 and 855

LCM of 851 and 855 is 727605

Least common multiple can be found by multiplying the highest exponent prime factors of 851 and 855. First we will calculate the prime factors of 851 and 855.

Prime Factorization of 851


23 851
37 37
1

Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:

851 = 231×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 851 and 855.

LCM(851,855) = 32×51×191×231×371
LCM(851,855) = 727605

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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

Least Common Multiple of 851 and 855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 851 and 855, than apply into the LCM equation.

GCF(851,855) = 1
LCM(851,855) = ( 851 × 855) / 1
LCM(851,855) = 727605 / 1
LCM(851,855) = 727605

Properties of LCM 851 and 855

(i) The LCM of 855 and 851 is associative

LCM of 851 and 855 = LCM of 855 and 851

Related Least Common Multiples of 851

Related Least Common Multiples of 855

Frequently Asked Questions on LCM of 851 and 855

1. What is the LCM of 851 and 855?

Answer: LCM of 851 and 855 is 727605.

2. What are the Factors of 851?

Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.

3. 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.

4. How to Find the LCM of 851 and 855?

Answer:

Least Common Multiple of 851 and 855 = 727605

Step 1: Find the prime factorization of 851

851 = 23 x 37

Step 2: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

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

LCM = 727605 = 3 x 3 x 5 x 19 x 23 x 37

Step 4: Therefore, the least common multiple of 851 and 855 is 727605.