Least Common Multiple of 839 and 842

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 842 the smallest integer that is 706438 that is divisible by both numbers.

Least Common Multiple (LCM) of 839 and 842 is 706438.

LCM(839,842) = 706438

LCM of 839 and 842

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

LCM of:
and

Least Common Multiple of 839 and 842

LCM of 839 and 842 is 706438

Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 842. First we will calculate the prime factors of 839 and 842.

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 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 839 and 842.

LCM(839,842) = 21×4211×8391
LCM(839,842) = 706438

Factors of 839

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

1, 839

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Least Common Multiple of 839 and 842 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 842, than apply into the LCM equation.

GCF(839,842) = 1
LCM(839,842) = ( 839 × 842) / 1
LCM(839,842) = 706438 / 1
LCM(839,842) = 706438

Properties of LCM 839 and 842

(i) The LCM of 842 and 839 is associative

LCM of 839 and 842 = LCM of 842 and 839

Related Least Common Multiples of 839

Related Least Common Multiples of 842

Frequently Asked Questions on LCM of 839 and 842

1. What is the LCM of 839 and 842?

Answer: LCM of 839 and 842 is 706438.

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 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

4. How to Find the LCM of 839 and 842?

Answer:

Least Common Multiple of 839 and 842 = 706438

Step 1: Find the prime factorization of 839

839 = 839

Step 2: Find the prime factorization of 842

842 = 2 x 421

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

LCM = 706438 = 2 x 421 x 839

Step 4: Therefore, the least common multiple of 839 and 842 is 706438.