Least Common Multiple of 1837 and 1838

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 1838 the smallest integer that is 3376406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1837 and 1838 is 3376406.

LCM(1837,1838) = 3376406

LCM of 1837 and 1838

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

LCM of:
and

Least Common Multiple of 1837 and 1838

LCM of 1837 and 1838 is 3376406

Least common multiple can be found by multiplying the highest exponent prime factors of 1837 and 1838. First we will calculate the prime factors of 1837 and 1838.

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 1838


2 1838
919 919
1

Prime factors of 1838 are 2,919. Prime factorization of 1838 in exponential form is:

1838 = 21×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 1837 and 1838.

LCM(1837,1838) = 21×111×1671×9191
LCM(1837,1838) = 3376406

Factors of 1837

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

1, 11, 167, 1837

Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1, 2, 919, 1838

Least Common Multiple of 1837 and 1838 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 1838, than apply into the LCM equation.

GCF(1837,1838) = 1
LCM(1837,1838) = ( 1837 × 1838) / 1
LCM(1837,1838) = 3376406 / 1
LCM(1837,1838) = 3376406

Properties of LCM 1837 and 1838

(i) The LCM of 1838 and 1837 is associative

LCM of 1837 and 1838 = LCM of 1838 and 1837

Related Least Common Multiples of 1837

Related Least Common Multiples of 1838

Frequently Asked Questions on LCM of 1837 and 1838

1. What is the LCM of 1837 and 1838?

Answer: LCM of 1837 and 1838 is 3376406.

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 1838?

Answer: Factors of 1838 are 1, 2, 919, 1838. There are 4 integers that are factors of 1838. The greatest factor of 1838 is 1838.

4. How to Find the LCM of 1837 and 1838?

Answer:

Least Common Multiple of 1837 and 1838 = 3376406

Step 1: Find the prime factorization of 1837

1837 = 11 x 167

Step 2: Find the prime factorization of 1838

1838 = 2 x 919

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

LCM = 3376406 = 2 x 11 x 167 x 919

Step 4: Therefore, the least common multiple of 1837 and 1838 is 3376406.