Least Common Multiple of 7838 and 7846

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 7846 the smallest integer that is 30748474 that is divisible by both numbers.

Least Common Multiple (LCM) of 7838 and 7846 is 30748474.

LCM(7838,7846) = 30748474

LCM of 7838 and 7846

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

LCM of:
and

Least Common Multiple of 7838 and 7846

LCM of 7838 and 7846 is 30748474

Least common multiple can be found by multiplying the highest exponent prime factors of 7838 and 7846. First we will calculate the prime factors of 7838 and 7846.

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 7846


2 7846
3923 3923
1

Prime factors of 7846 are 2,3923. Prime factorization of 7846 in exponential form is:

7846 = 21×39231

Now multiplying the highest exponent prime factors to calculate the LCM of 7838 and 7846.

LCM(7838,7846) = 21×39191×39231
LCM(7838,7846) = 30748474

Factors of 7838

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

1, 2, 3919, 7838

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1, 2, 3923, 7846

Least Common Multiple of 7838 and 7846 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 7846, than apply into the LCM equation.

GCF(7838,7846) = 2
LCM(7838,7846) = ( 7838 × 7846) / 2
LCM(7838,7846) = 61496948 / 2
LCM(7838,7846) = 30748474

Properties of LCM 7838 and 7846

(i) The LCM of 7846 and 7838 is associative

LCM of 7838 and 7846 = LCM of 7846 and 7838

Related Least Common Multiples of 7838

Related Least Common Multiples of 7846

Frequently Asked Questions on LCM of 7838 and 7846

1. What is the LCM of 7838 and 7846?

Answer: LCM of 7838 and 7846 is 30748474.

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 7846?

Answer: Factors of 7846 are 1, 2, 3923, 7846. There are 4 integers that are factors of 7846. The greatest factor of 7846 is 7846.

4. How to Find the LCM of 7838 and 7846?

Answer:

Least Common Multiple of 7838 and 7846 = 30748474

Step 1: Find the prime factorization of 7838

7838 = 2 x 3919

Step 2: Find the prime factorization of 7846

7846 = 2 x 3923

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

LCM = 30748474 = 2 x 3919 x 3923

Step 4: Therefore, the least common multiple of 7838 and 7846 is 30748474.