Least Common Multiple of 1831 and 1839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1831 and 1839 the smallest integer that is 3367209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1831 and 1839 is 3367209.

LCM(1831,1839) = 3367209

LCM of 1831 and 1839

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

LCM of:
and

Least Common Multiple of 1831 and 1839

LCM of 1831 and 1839 is 3367209

Least common multiple can be found by multiplying the highest exponent prime factors of 1831 and 1839. First we will calculate the prime factors of 1831 and 1839.

Prime Factorization of 1831


1831 1831
1

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

Prime Factorization of 1839


3 1839
613 613
1

Prime factors of 1839 are 3,613. Prime factorization of 1839 in exponential form is:

1839 = 31×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 1831 and 1839.

LCM(1831,1839) = 31×6131×18311
LCM(1831,1839) = 3367209

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1, 1831

Factors of 1839

List of positive integer factors of 1839 that divides 1839 without a remainder.

1, 3, 613, 1839

Least Common Multiple of 1831 and 1839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1831 and 1839, than apply into the LCM equation.

GCF(1831,1839) = 1
LCM(1831,1839) = ( 1831 × 1839) / 1
LCM(1831,1839) = 3367209 / 1
LCM(1831,1839) = 3367209

Properties of LCM 1831 and 1839

(i) The LCM of 1839 and 1831 is associative

LCM of 1831 and 1839 = LCM of 1839 and 1831

Related Least Common Multiples of 1831

Related Least Common Multiples of 1839

Frequently Asked Questions on LCM of 1831 and 1839

1. What is the LCM of 1831 and 1839?

Answer: LCM of 1831 and 1839 is 3367209.

2. What are the Factors of 1831?

Answer: Factors of 1831 are 1, 1831. There are 2 integers that are factors of 1831. The greatest factor of 1831 is 1831.

3. What are the Factors of 1839?

Answer: Factors of 1839 are 1, 3, 613, 1839. There are 4 integers that are factors of 1839. The greatest factor of 1839 is 1839.

4. How to Find the LCM of 1831 and 1839?

Answer:

Least Common Multiple of 1831 and 1839 = 3367209

Step 1: Find the prime factorization of 1831

1831 = 1831

Step 2: Find the prime factorization of 1839

1839 = 3 x 613

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

LCM = 3367209 = 3 x 613 x 1831

Step 4: Therefore, the least common multiple of 1831 and 1839 is 3367209.