Least Common Multiple of 834 and 839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 834 and 839 the smallest integer that is 699726 that is divisible by both numbers.

Least Common Multiple (LCM) of 834 and 839 is 699726.

LCM(834,839) = 699726

LCM of 834 and 839

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

LCM of:
and

Least Common Multiple of 834 and 839

LCM of 834 and 839 is 699726

Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 839. First we will calculate the prime factors of 834 and 839.

Prime Factorization of 834


2 834
3 417
139 139
1

Prime factors of 834 are 2, 3,139. Prime factorization of 834 in exponential form is:

834 = 21×31×1391

Prime Factorization of 839


839 839
1

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

839 = 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 839.

LCM(834,839) = 21×31×1391×8391
LCM(834,839) = 699726

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Factors of 839

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

1, 839

Least Common Multiple of 834 and 839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 834 and 839, than apply into the LCM equation.

GCF(834,839) = 1
LCM(834,839) = ( 834 × 839) / 1
LCM(834,839) = 699726 / 1
LCM(834,839) = 699726

Properties of LCM 834 and 839

(i) The LCM of 839 and 834 is associative

LCM of 834 and 839 = LCM of 839 and 834

Related Least Common Multiples of 834

Related Least Common Multiples of 839

Frequently Asked Questions on LCM of 834 and 839

1. What is the LCM of 834 and 839?

Answer: LCM of 834 and 839 is 699726.

2. What are the Factors of 834?

Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.

3. 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.

4. How to Find the LCM of 834 and 839?

Answer:

Least Common Multiple of 834 and 839 = 699726

Step 1: Find the prime factorization of 834

834 = 2 x 3 x 139

Step 2: Find the prime factorization of 839

839 = 839

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

LCM = 699726 = 2 x 3 x 139 x 839

Step 4: Therefore, the least common multiple of 834 and 839 is 699726.