Least Common Multiple of 7830 and 7838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7830 and 7838 the smallest integer that is 30685770 that is divisible by both numbers.

Least Common Multiple (LCM) of 7830 and 7838 is 30685770.

LCM(7830,7838) = 30685770

LCM of 7830 and 7838

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

LCM of:
and

Least Common Multiple of 7830 and 7838

LCM of 7830 and 7838 is 30685770

Least common multiple can be found by multiplying the highest exponent prime factors of 7830 and 7838. First we will calculate the prime factors of 7830 and 7838.

Prime Factorization of 7830


2 7830
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 7830 are 2, 3, 5,29. Prime factorization of 7830 in exponential form is:

7830 = 21×33×51×291

Prime Factorization of 7838


2 7838
3919 3919
1

Prime factors of 7838 are 2,3919. Prime factorization of 7838 in exponential form is:

7838 = 21×39191

Now multiplying the highest exponent prime factors to calculate the LCM of 7830 and 7838.

LCM(7830,7838) = 21×33×51×291×39191
LCM(7830,7838) = 30685770

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1, 2, 3919, 7838

Least Common Multiple of 7830 and 7838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7830 and 7838, than apply into the LCM equation.

GCF(7830,7838) = 2
LCM(7830,7838) = ( 7830 × 7838) / 2
LCM(7830,7838) = 61371540 / 2
LCM(7830,7838) = 30685770

Properties of LCM 7830 and 7838

(i) The LCM of 7838 and 7830 is associative

LCM of 7830 and 7838 = LCM of 7838 and 7830

Related Least Common Multiples of 7830

Related Least Common Multiples of 7838

Frequently Asked Questions on LCM of 7830 and 7838

1. What is the LCM of 7830 and 7838?

Answer: LCM of 7830 and 7838 is 30685770.

2. What are the Factors of 7830?

Answer: Factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830. There are 32 integers that are factors of 7830. The greatest factor of 7830 is 7830.

3. What are the Factors of 7838?

Answer: Factors of 7838 are 1, 2, 3919, 7838. There are 4 integers that are factors of 7838. The greatest factor of 7838 is 7838.

4. How to Find the LCM of 7830 and 7838?

Answer:

Least Common Multiple of 7830 and 7838 = 30685770

Step 1: Find the prime factorization of 7830

7830 = 2 x 3 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 7838

7838 = 2 x 3919

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

LCM = 30685770 = 2 x 3 x 3 x 3 x 5 x 29 x 3919

Step 4: Therefore, the least common multiple of 7830 and 7838 is 30685770.