Least Common Multiple of 7839 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 7839 and 7846 the smallest integer that is 61504794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7839 and 7846 is 61504794.

LCM(7839,7846) = 61504794

LCM of 7839 and 7846

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

LCM of:
and

Least Common Multiple of 7839 and 7846

LCM of 7839 and 7846 is 61504794

Least common multiple can be found by multiplying the highest exponent prime factors of 7839 and 7846. First we will calculate the prime factors of 7839 and 7846.

Prime Factorization of 7839


3 7839
3 2613
13 871
67 67
1

Prime factors of 7839 are 3, 13,67. Prime factorization of 7839 in exponential form is:

7839 = 32×131×671

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 7839 and 7846.

LCM(7839,7846) = 21×32×131×671×39231
LCM(7839,7846) = 61504794

Factors of 7839

List of positive integer factors of 7839 that divides 7839 without a remainder.

1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839

Factors of 7846

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

1, 2, 3923, 7846

Least Common Multiple of 7839 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 7839 and 7846, than apply into the LCM equation.

GCF(7839,7846) = 1
LCM(7839,7846) = ( 7839 × 7846) / 1
LCM(7839,7846) = 61504794 / 1
LCM(7839,7846) = 61504794

Properties of LCM 7839 and 7846

(i) The LCM of 7846 and 7839 is associative

LCM of 7839 and 7846 = LCM of 7846 and 7839

Related Least Common Multiples of 7839

Related Least Common Multiples of 7846

Frequently Asked Questions on LCM of 7839 and 7846

1. What is the LCM of 7839 and 7846?

Answer: LCM of 7839 and 7846 is 61504794.

2. What are the Factors of 7839?

Answer: Factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839. There are 12 integers that are factors of 7839. The greatest factor of 7839 is 7839.

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 7839 and 7846?

Answer:

Least Common Multiple of 7839 and 7846 = 61504794

Step 1: Find the prime factorization of 7839

7839 = 3 x 3 x 13 x 67

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 = 61504794 = 2 x 3 x 3 x 13 x 67 x 3923

Step 4: Therefore, the least common multiple of 7839 and 7846 is 61504794.