Least Common Multiple of 7835 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 7835 and 7839 the smallest integer that is 61418565 that is divisible by both numbers.

Least Common Multiple (LCM) of 7835 and 7839 is 61418565.

LCM(7835,7839) = 61418565

LCM of 7835 and 7839

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

LCM of:
and

Least Common Multiple of 7835 and 7839

LCM of 7835 and 7839 is 61418565

Least common multiple can be found by multiplying the highest exponent prime factors of 7835 and 7839. First we will calculate the prime factors of 7835 and 7839.

Prime Factorization of 7835


5 7835
1567 1567
1

Prime factors of 7835 are 5,1567. Prime factorization of 7835 in exponential form is:

7835 = 51×15671

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 7835 and 7839.

LCM(7835,7839) = 32×51×131×671×15671
LCM(7835,7839) = 61418565

Factors of 7835

List of positive integer factors of 7835 that divides 7835 without a remainder.

1, 5, 1567, 7835

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 7835 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 7835 and 7839, than apply into the LCM equation.

GCF(7835,7839) = 1
LCM(7835,7839) = ( 7835 × 7839) / 1
LCM(7835,7839) = 61418565 / 1
LCM(7835,7839) = 61418565

Properties of LCM 7835 and 7839

(i) The LCM of 7839 and 7835 is associative

LCM of 7835 and 7839 = LCM of 7839 and 7835

Related Least Common Multiples of 7835

Related Least Common Multiples of 7839

Frequently Asked Questions on LCM of 7835 and 7839

1. What is the LCM of 7835 and 7839?

Answer: LCM of 7835 and 7839 is 61418565.

2. What are the Factors of 7835?

Answer: Factors of 7835 are 1, 5, 1567, 7835. There are 4 integers that are factors of 7835. The greatest factor of 7835 is 7835.

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 7835 and 7839?

Answer:

Least Common Multiple of 7835 and 7839 = 61418565

Step 1: Find the prime factorization of 7835

7835 = 5 x 1567

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 = 61418565 = 3 x 3 x 5 x 13 x 67 x 1567

Step 4: Therefore, the least common multiple of 7835 and 7839 is 61418565.