Least Common Multiple of 849 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 849 and 853 the smallest integer that is 724197 that is divisible by both numbers.

Least Common Multiple (LCM) of 849 and 853 is 724197.

LCM(849,853) = 724197

LCM of 849 and 853

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

LCM of:
and

Least Common Multiple of 849 and 853

LCM of 849 and 853 is 724197

Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 853. First we will calculate the prime factors of 849 and 853.

Prime Factorization of 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

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 849 and 853.

LCM(849,853) = 31×2831×8531
LCM(849,853) = 724197

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Factors of 853

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

1, 853

Least Common Multiple of 849 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 849 and 853, than apply into the LCM equation.

GCF(849,853) = 1
LCM(849,853) = ( 849 × 853) / 1
LCM(849,853) = 724197 / 1
LCM(849,853) = 724197

Properties of LCM 849 and 853

(i) The LCM of 853 and 849 is associative

LCM of 849 and 853 = LCM of 853 and 849

Related Least Common Multiples of 849

Related Least Common Multiples of 853

Frequently Asked Questions on LCM of 849 and 853

1. What is the LCM of 849 and 853?

Answer: LCM of 849 and 853 is 724197.

2. What are the Factors of 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

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 849 and 853?

Answer:

Least Common Multiple of 849 and 853 = 724197

Step 1: Find the prime factorization of 849

849 = 3 x 283

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 = 724197 = 3 x 283 x 853

Step 4: Therefore, the least common multiple of 849 and 853 is 724197.