Least Common Multiple of 852 and 853

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 853 the smallest integer that is 726756 that is divisible by both numbers.

Least Common Multiple (LCM) of 852 and 853 is 726756.

LCM(852,853) = 726756

LCM of 852 and 853

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

LCM of:
and

Least Common Multiple of 852 and 853

LCM of 852 and 853 is 726756

Least common multiple can be found by multiplying the highest exponent prime factors of 852 and 853. First we will calculate the prime factors of 852 and 853.

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 853


853 853
1

Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:

853 = 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 852 and 853.

LCM(852,853) = 22×31×711×8531
LCM(852,853) = 726756

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 853

List of positive integer factors of 853 that divides 853 without a remainder.

1, 853

Least Common Multiple of 852 and 853 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 853, than apply into the LCM equation.

GCF(852,853) = 1
LCM(852,853) = ( 852 × 853) / 1
LCM(852,853) = 726756 / 1
LCM(852,853) = 726756

Properties of LCM 852 and 853

(i) The LCM of 853 and 852 is associative

LCM of 852 and 853 = LCM of 853 and 852

Related Least Common Multiples of 852

Related Least Common Multiples of 853

Frequently Asked Questions on LCM of 852 and 853

1. What is the LCM of 852 and 853?

Answer: LCM of 852 and 853 is 726756.

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 853?

Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.

4. How to Find the LCM of 852 and 853?

Answer:

Least Common Multiple of 852 and 853 = 726756

Step 1: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 853

853 = 853

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

LCM = 726756 = 2 x 2 x 3 x 71 x 853

Step 4: Therefore, the least common multiple of 852 and 853 is 726756.