Least Common Multiple of 1838 and 1844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1838 and 1844 the smallest integer that is 1694636 that is divisible by both numbers.

Least Common Multiple (LCM) of 1838 and 1844 is 1694636.

LCM(1838,1844) = 1694636

LCM of 1838 and 1844

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

LCM of:
and

Least Common Multiple of 1838 and 1844

LCM of 1838 and 1844 is 1694636

Least common multiple can be found by multiplying the highest exponent prime factors of 1838 and 1844. First we will calculate the prime factors of 1838 and 1844.

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

Prime Factorization of 1844


2 1844
2 922
461 461
1

Prime factors of 1844 are 2,461. Prime factorization of 1844 in exponential form is:

1844 = 22×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 1838 and 1844.

LCM(1838,1844) = 22×4611×9191
LCM(1838,1844) = 1694636

Factors of 1838

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

1, 2, 919, 1838

Factors of 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1, 2, 4, 461, 922, 1844

Least Common Multiple of 1838 and 1844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1838 and 1844, than apply into the LCM equation.

GCF(1838,1844) = 2
LCM(1838,1844) = ( 1838 × 1844) / 2
LCM(1838,1844) = 3389272 / 2
LCM(1838,1844) = 1694636

Properties of LCM 1838 and 1844

(i) The LCM of 1844 and 1838 is associative

LCM of 1838 and 1844 = LCM of 1844 and 1838

Related Least Common Multiples of 1838

Related Least Common Multiples of 1844

Frequently Asked Questions on LCM of 1838 and 1844

1. What is the LCM of 1838 and 1844?

Answer: LCM of 1838 and 1844 is 1694636.

2. 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.

3. What are the Factors of 1844?

Answer: Factors of 1844 are 1, 2, 4, 461, 922, 1844. There are 6 integers that are factors of 1844. The greatest factor of 1844 is 1844.

4. How to Find the LCM of 1838 and 1844?

Answer:

Least Common Multiple of 1838 and 1844 = 1694636

Step 1: Find the prime factorization of 1838

1838 = 2 x 919

Step 2: Find the prime factorization of 1844

1844 = 2 x 2 x 461

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

LCM = 1694636 = 2 x 2 x 461 x 919

Step 4: Therefore, the least common multiple of 1838 and 1844 is 1694636.