Least Common Multiple of 1837 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 1837 and 1839 the smallest integer that is 3378243 that is divisible by both numbers.

Least Common Multiple (LCM) of 1837 and 1839 is 3378243.

LCM(1837,1839) = 3378243

LCM of 1837 and 1839

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

LCM of:
and

Least Common Multiple of 1837 and 1839

LCM of 1837 and 1839 is 3378243

Least common multiple can be found by multiplying the highest exponent prime factors of 1837 and 1839. First we will calculate the prime factors of 1837 and 1839.

Prime Factorization of 1837


11 1837
167 167
1

Prime factors of 1837 are 11,167. Prime factorization of 1837 in exponential form is:

1837 = 111×1671

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 1837 and 1839.

LCM(1837,1839) = 31×111×1671×6131
LCM(1837,1839) = 3378243

Factors of 1837

List of positive integer factors of 1837 that divides 1837 without a remainder.

1, 11, 167, 1837

Factors of 1839

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

1, 3, 613, 1839

Least Common Multiple of 1837 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 1837 and 1839, than apply into the LCM equation.

GCF(1837,1839) = 1
LCM(1837,1839) = ( 1837 × 1839) / 1
LCM(1837,1839) = 3378243 / 1
LCM(1837,1839) = 3378243

Properties of LCM 1837 and 1839

(i) The LCM of 1839 and 1837 is associative

LCM of 1837 and 1839 = LCM of 1839 and 1837

Related Least Common Multiples of 1837

Related Least Common Multiples of 1839

Frequently Asked Questions on LCM of 1837 and 1839

1. What is the LCM of 1837 and 1839?

Answer: LCM of 1837 and 1839 is 3378243.

2. What are the Factors of 1837?

Answer: Factors of 1837 are 1, 11, 167, 1837. There are 4 integers that are factors of 1837. The greatest factor of 1837 is 1837.

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 1837 and 1839?

Answer:

Least Common Multiple of 1837 and 1839 = 3378243

Step 1: Find the prime factorization of 1837

1837 = 11 x 167

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 = 3378243 = 3 x 11 x 167 x 613

Step 4: Therefore, the least common multiple of 1837 and 1839 is 3378243.