Least Common Multiple of 852 and 854

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 854 the smallest integer that is 363804 that is divisible by both numbers.

Least Common Multiple (LCM) of 852 and 854 is 363804.

LCM(852,854) = 363804

LCM of 852 and 854

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

LCM of:
and

Least Common Multiple of 852 and 854

LCM of 852 and 854 is 363804

Least common multiple can be found by multiplying the highest exponent prime factors of 852 and 854. First we will calculate the prime factors of 852 and 854.

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 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 852 and 854.

LCM(852,854) = 22×31×71×611×711
LCM(852,854) = 363804

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 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Least Common Multiple of 852 and 854 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 854, than apply into the LCM equation.

GCF(852,854) = 2
LCM(852,854) = ( 852 × 854) / 2
LCM(852,854) = 727608 / 2
LCM(852,854) = 363804

Properties of LCM 852 and 854

(i) The LCM of 854 and 852 is associative

LCM of 852 and 854 = LCM of 854 and 852

Related Least Common Multiples of 852

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 852 and 854

1. What is the LCM of 852 and 854?

Answer: LCM of 852 and 854 is 363804.

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 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

4. How to Find the LCM of 852 and 854?

Answer:

Least Common Multiple of 852 and 854 = 363804

Step 1: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 854

854 = 2 x 7 x 61

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

LCM = 363804 = 2 x 2 x 3 x 7 x 61 x 71

Step 4: Therefore, the least common multiple of 852 and 854 is 363804.