Least Common Multiple of 7838 and 7845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7838 and 7845 the smallest integer that is 61489110 that is divisible by both numbers.

Least Common Multiple (LCM) of 7838 and 7845 is 61489110.

LCM(7838,7845) = 61489110

LCM of 7838 and 7845

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

LCM of:
and

Least Common Multiple of 7838 and 7845

LCM of 7838 and 7845 is 61489110

Least common multiple can be found by multiplying the highest exponent prime factors of 7838 and 7845. First we will calculate the prime factors of 7838 and 7845.

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

Prime Factorization of 7845


3 7845
5 2615
523 523
1

Prime factors of 7845 are 3, 5,523. Prime factorization of 7845 in exponential form is:

7845 = 31×51×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 7838 and 7845.

LCM(7838,7845) = 21×31×51×5231×39191
LCM(7838,7845) = 61489110

Factors of 7838

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

1, 2, 3919, 7838

Factors of 7845

List of positive integer factors of 7845 that divides 7845 without a remainder.

1, 3, 5, 15, 523, 1569, 2615, 7845

Least Common Multiple of 7838 and 7845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7838 and 7845, than apply into the LCM equation.

GCF(7838,7845) = 1
LCM(7838,7845) = ( 7838 × 7845) / 1
LCM(7838,7845) = 61489110 / 1
LCM(7838,7845) = 61489110

Properties of LCM 7838 and 7845

(i) The LCM of 7845 and 7838 is associative

LCM of 7838 and 7845 = LCM of 7845 and 7838

Related Least Common Multiples of 7838

Related Least Common Multiples of 7845

Frequently Asked Questions on LCM of 7838 and 7845

1. What is the LCM of 7838 and 7845?

Answer: LCM of 7838 and 7845 is 61489110.

2. 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.

3. What are the Factors of 7845?

Answer: Factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845. There are 8 integers that are factors of 7845. The greatest factor of 7845 is 7845.

4. How to Find the LCM of 7838 and 7845?

Answer:

Least Common Multiple of 7838 and 7845 = 61489110

Step 1: Find the prime factorization of 7838

7838 = 2 x 3919

Step 2: Find the prime factorization of 7845

7845 = 3 x 5 x 523

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

LCM = 61489110 = 2 x 3 x 5 x 523 x 3919

Step 4: Therefore, the least common multiple of 7838 and 7845 is 61489110.