Least Common Multiple of 1830 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 1830 and 1838 the smallest integer that is 1681770 that is divisible by both numbers.

Least Common Multiple (LCM) of 1830 and 1838 is 1681770.

LCM(1830,1838) = 1681770

LCM of 1830 and 1838

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

LCM of:
and

Least Common Multiple of 1830 and 1838

LCM of 1830 and 1838 is 1681770

Least common multiple can be found by multiplying the highest exponent prime factors of 1830 and 1838. First we will calculate the prime factors of 1830 and 1838.

Prime Factorization of 1830


2 1830
3 915
5 305
61 61
1

Prime factors of 1830 are 2, 3, 5,61. Prime factorization of 1830 in exponential form is:

1830 = 21×31×51×611

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 1830 and 1838.

LCM(1830,1838) = 21×31×51×611×9191
LCM(1830,1838) = 1681770

Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830

Factors of 1838

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

1, 2, 919, 1838

Least Common Multiple of 1830 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 1830 and 1838, than apply into the LCM equation.

GCF(1830,1838) = 2
LCM(1830,1838) = ( 1830 × 1838) / 2
LCM(1830,1838) = 3363540 / 2
LCM(1830,1838) = 1681770

Properties of LCM 1830 and 1838

(i) The LCM of 1838 and 1830 is associative

LCM of 1830 and 1838 = LCM of 1838 and 1830

Related Least Common Multiples of 1830

Related Least Common Multiples of 1838

Frequently Asked Questions on LCM of 1830 and 1838

1. What is the LCM of 1830 and 1838?

Answer: LCM of 1830 and 1838 is 1681770.

2. What are the Factors of 1830?

Answer: Factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830. There are 16 integers that are factors of 1830. The greatest factor of 1830 is 1830.

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 1830 and 1838?

Answer:

Least Common Multiple of 1830 and 1838 = 1681770

Step 1: Find the prime factorization of 1830

1830 = 2 x 3 x 5 x 61

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 = 1681770 = 2 x 3 x 5 x 61 x 919

Step 4: Therefore, the least common multiple of 1830 and 1838 is 1681770.