Least Common Multiple of 1838 and 1840

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 1840 the smallest integer that is 1690960 that is divisible by both numbers.

Least Common Multiple (LCM) of 1838 and 1840 is 1690960.

LCM(1838,1840) = 1690960

LCM of 1838 and 1840

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

LCM of:
and

Least Common Multiple of 1838 and 1840

LCM of 1838 and 1840 is 1690960

Least common multiple can be found by multiplying the highest exponent prime factors of 1838 and 1840. First we will calculate the prime factors of 1838 and 1840.

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 1840


2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 1840 are 2, 5,23. Prime factorization of 1840 in exponential form is:

1840 = 24×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1838 and 1840.

LCM(1838,1840) = 24×51×231×9191
LCM(1838,1840) = 1690960

Factors of 1838

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

1, 2, 919, 1838

Factors of 1840

List of positive integer factors of 1840 that divides 1840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840

Least Common Multiple of 1838 and 1840 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 1840, than apply into the LCM equation.

GCF(1838,1840) = 2
LCM(1838,1840) = ( 1838 × 1840) / 2
LCM(1838,1840) = 3381920 / 2
LCM(1838,1840) = 1690960

Properties of LCM 1838 and 1840

(i) The LCM of 1840 and 1838 is associative

LCM of 1838 and 1840 = LCM of 1840 and 1838

Related Least Common Multiples of 1838

Related Least Common Multiples of 1840

Frequently Asked Questions on LCM of 1838 and 1840

1. What is the LCM of 1838 and 1840?

Answer: LCM of 1838 and 1840 is 1690960.

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 1840?

Answer: Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. There are 20 integers that are factors of 1840. The greatest factor of 1840 is 1840.

4. How to Find the LCM of 1838 and 1840?

Answer:

Least Common Multiple of 1838 and 1840 = 1690960

Step 1: Find the prime factorization of 1838

1838 = 2 x 919

Step 2: Find the prime factorization of 1840

1840 = 2 x 2 x 2 x 2 x 5 x 23

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

LCM = 1690960 = 2 x 2 x 2 x 2 x 5 x 23 x 919

Step 4: Therefore, the least common multiple of 1838 and 1840 is 1690960.