Least Common Multiple of 839 and 841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 839 and 841 the smallest integer that is 705599 that is divisible by both numbers.

Least Common Multiple (LCM) of 839 and 841 is 705599.

LCM(839,841) = 705599

LCM of 839 and 841

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

LCM of:
and

Least Common Multiple of 839 and 841

LCM of 839 and 841 is 705599

Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 841. First we will calculate the prime factors of 839 and 841.

Prime Factorization of 839


839 839
1

Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:

839 = 8391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 839 and 841.

LCM(839,841) = 292×8391
LCM(839,841) = 705599

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1, 839

Factors of 841

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

1, 29, 841

Least Common Multiple of 839 and 841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 839 and 841, than apply into the LCM equation.

GCF(839,841) = 1
LCM(839,841) = ( 839 × 841) / 1
LCM(839,841) = 705599 / 1
LCM(839,841) = 705599

Properties of LCM 839 and 841

(i) The LCM of 841 and 839 is associative

LCM of 839 and 841 = LCM of 841 and 839

Related Least Common Multiples of 839

Related Least Common Multiples of 841

Frequently Asked Questions on LCM of 839 and 841

1. What is the LCM of 839 and 841?

Answer: LCM of 839 and 841 is 705599.

2. What are the Factors of 839?

Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.

3. 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.

4. How to Find the LCM of 839 and 841?

Answer:

Least Common Multiple of 839 and 841 = 705599

Step 1: Find the prime factorization of 839

839 = 839

Step 2: Find the prime factorization of 841

841 = 29 x 29

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

LCM = 705599 = 29 x 29 x 839

Step 4: Therefore, the least common multiple of 839 and 841 is 705599.