Least Common Multiple of 841 and 849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 841 and 849 the smallest integer that is 714009 that is divisible by both numbers.

Least Common Multiple (LCM) of 841 and 849 is 714009.

LCM(841,849) = 714009

LCM of 841 and 849

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

LCM of:
and

Least Common Multiple of 841 and 849

LCM of 841 and 849 is 714009

Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 849. First we will calculate the prime factors of 841 and 849.

Prime Factorization of 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

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

Now multiplying the highest exponent prime factors to calculate the LCM of 841 and 849.

LCM(841,849) = 31×292×2831
LCM(841,849) = 714009

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

Factors of 849

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

1, 3, 283, 849

Least Common Multiple of 841 and 849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 841 and 849, than apply into the LCM equation.

GCF(841,849) = 1
LCM(841,849) = ( 841 × 849) / 1
LCM(841,849) = 714009 / 1
LCM(841,849) = 714009

Properties of LCM 841 and 849

(i) The LCM of 849 and 841 is associative

LCM of 841 and 849 = LCM of 849 and 841

Related Least Common Multiples of 841

Related Least Common Multiples of 849

Frequently Asked Questions on LCM of 841 and 849

1. What is the LCM of 841 and 849?

Answer: LCM of 841 and 849 is 714009.

2. What are the Factors of 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

3. 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.

4. How to Find the LCM of 841 and 849?

Answer:

Least Common Multiple of 841 and 849 = 714009

Step 1: Find the prime factorization of 841

841 = 29 x 29

Step 2: Find the prime factorization of 849

849 = 3 x 283

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

LCM = 714009 = 3 x 29 x 29 x 283

Step 4: Therefore, the least common multiple of 841 and 849 is 714009.