Least Common Multiple of 853 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 853 and 854 the smallest integer that is 728462 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 854 is 728462.

LCM(853,854) = 728462

LCM of 853 and 854

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

LCM of:
and

Least Common Multiple of 853 and 854

LCM of 853 and 854 is 728462

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 854. First we will calculate the prime factors of 853 and 854.

Prime Factorization of 853


853 853
1

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

853 = 8531

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 853 and 854.

LCM(853,854) = 21×71×611×8531
LCM(853,854) = 728462

Factors of 853

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

1, 853

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 853 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 853 and 854, than apply into the LCM equation.

GCF(853,854) = 1
LCM(853,854) = ( 853 × 854) / 1
LCM(853,854) = 728462 / 1
LCM(853,854) = 728462

Properties of LCM 853 and 854

(i) The LCM of 854 and 853 is associative

LCM of 853 and 854 = LCM of 854 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 853 and 854

1. What is the LCM of 853 and 854?

Answer: LCM of 853 and 854 is 728462.

2. 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.

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 853 and 854?

Answer:

Least Common Multiple of 853 and 854 = 728462

Step 1: Find the prime factorization of 853

853 = 853

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 = 728462 = 2 x 7 x 61 x 853

Step 4: Therefore, the least common multiple of 853 and 854 is 728462.