Least Common Multiple of 852 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 852 and 855 the smallest integer that is 242820 that is divisible by both numbers.

Least Common Multiple (LCM) of 852 and 855 is 242820.

LCM(852,855) = 242820

LCM of 852 and 855

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

LCM of:
and

Least Common Multiple of 852 and 855

LCM of 852 and 855 is 242820

Least common multiple can be found by multiplying the highest exponent prime factors of 852 and 855. First we will calculate the prime factors of 852 and 855.

Prime Factorization of 852


2 852
2 426
3 213
71 71
1

Prime factors of 852 are 2, 3,71. Prime factorization of 852 in exponential form is:

852 = 22×31×711

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 852 and 855.

LCM(852,855) = 22×32×51×191×711
LCM(852,855) = 242820

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 852 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 852 and 855, than apply into the LCM equation.

GCF(852,855) = 3
LCM(852,855) = ( 852 × 855) / 3
LCM(852,855) = 728460 / 3
LCM(852,855) = 242820

Properties of LCM 852 and 855

(i) The LCM of 855 and 852 is associative

LCM of 852 and 855 = LCM of 855 and 852

Related Least Common Multiples of 852

Related Least Common Multiples of 855

Frequently Asked Questions on LCM of 852 and 855

1. What is the LCM of 852 and 855?

Answer: LCM of 852 and 855 is 242820.

2. What are the Factors of 852?

Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.

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 852 and 855?

Answer:

Least Common Multiple of 852 and 855 = 242820

Step 1: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

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 = 242820 = 2 x 2 x 3 x 3 x 5 x 19 x 71

Step 4: Therefore, the least common multiple of 852 and 855 is 242820.