Least Common Multiple of 850 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 850 and 855 the smallest integer that is 145350 that is divisible by both numbers.

Least Common Multiple (LCM) of 850 and 855 is 145350.

LCM(850,855) = 145350

LCM of 850 and 855

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

LCM of:
and

Least Common Multiple of 850 and 855

LCM of 850 and 855 is 145350

Least common multiple can be found by multiplying the highest exponent prime factors of 850 and 855. First we will calculate the prime factors of 850 and 855.

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2, 5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

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 850 and 855.

LCM(850,855) = 21×32×52×171×191
LCM(850,855) = 145350

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 850 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 850 and 855, than apply into the LCM equation.

GCF(850,855) = 5
LCM(850,855) = ( 850 × 855) / 5
LCM(850,855) = 726750 / 5
LCM(850,855) = 145350

Properties of LCM 850 and 855

(i) The LCM of 855 and 850 is associative

LCM of 850 and 855 = LCM of 855 and 850

Related Least Common Multiples of 850

Related Least Common Multiples of 855

Frequently Asked Questions on LCM of 850 and 855

1. What is the LCM of 850 and 855?

Answer: LCM of 850 and 855 is 145350.

2. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

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 850 and 855?

Answer:

Least Common Multiple of 850 and 855 = 145350

Step 1: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

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 = 145350 = 2 x 3 x 3 x 5 x 5 x 17 x 19

Step 4: Therefore, the least common multiple of 850 and 855 is 145350.