Least Common Multiple of 7834 and 7839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7834 and 7839 the smallest integer that is 61410726 that is divisible by both numbers.

Least Common Multiple (LCM) of 7834 and 7839 is 61410726.

LCM(7834,7839) = 61410726

LCM of 7834 and 7839

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

LCM of:
and

Least Common Multiple of 7834 and 7839

LCM of 7834 and 7839 is 61410726

Least common multiple can be found by multiplying the highest exponent prime factors of 7834 and 7839. First we will calculate the prime factors of 7834 and 7839.

Prime Factorization of 7834


2 7834
3917 3917
1

Prime factors of 7834 are 2,3917. Prime factorization of 7834 in exponential form is:

7834 = 21×39171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7834 and 7839.

LCM(7834,7839) = 21×32×131×671×39171
LCM(7834,7839) = 61410726

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1, 2, 3917, 7834

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

Least Common Multiple of 7834 and 7839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7834 and 7839, than apply into the LCM equation.

GCF(7834,7839) = 1
LCM(7834,7839) = ( 7834 × 7839) / 1
LCM(7834,7839) = 61410726 / 1
LCM(7834,7839) = 61410726

Properties of LCM 7834 and 7839

(i) The LCM of 7839 and 7834 is associative

LCM of 7834 and 7839 = LCM of 7839 and 7834

Related Least Common Multiples of 7834

Related Least Common Multiples of 7839

Frequently Asked Questions on LCM of 7834 and 7839

1. What is the LCM of 7834 and 7839?

Answer: LCM of 7834 and 7839 is 61410726.

2. What are the Factors of 7834?

Answer: Factors of 7834 are 1, 2, 3917, 7834. There are 4 integers that are factors of 7834. The greatest factor of 7834 is 7834.

3. 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.

4. How to Find the LCM of 7834 and 7839?

Answer:

Least Common Multiple of 7834 and 7839 = 61410726

Step 1: Find the prime factorization of 7834

7834 = 2 x 3917

Step 2: Find the prime factorization of 7839

7839 = 3 x 3 x 13 x 67

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

LCM = 61410726 = 2 x 3 x 3 x 13 x 67 x 3917

Step 4: Therefore, the least common multiple of 7834 and 7839 is 61410726.