Least Common Multiple of 7839 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 7839 and 7845 the smallest integer that is 20498985 that is divisible by both numbers.

Least Common Multiple (LCM) of 7839 and 7845 is 20498985.

LCM(7839,7845) = 20498985

LCM of 7839 and 7845

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

LCM of:
and

Least Common Multiple of 7839 and 7845

LCM of 7839 and 7845 is 20498985

Least common multiple can be found by multiplying the highest exponent prime factors of 7839 and 7845. First we will calculate the prime factors of 7839 and 7845.

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 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 7839 and 7845.

LCM(7839,7845) = 32×51×131×671×5231
LCM(7839,7845) = 20498985

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 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 7839 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 7839 and 7845, than apply into the LCM equation.

GCF(7839,7845) = 3
LCM(7839,7845) = ( 7839 × 7845) / 3
LCM(7839,7845) = 61496955 / 3
LCM(7839,7845) = 20498985

Properties of LCM 7839 and 7845

(i) The LCM of 7845 and 7839 is associative

LCM of 7839 and 7845 = LCM of 7845 and 7839

Related Least Common Multiples of 7839

Related Least Common Multiples of 7845

Frequently Asked Questions on LCM of 7839 and 7845

1. What is the LCM of 7839 and 7845?

Answer: LCM of 7839 and 7845 is 20498985.

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 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 7839 and 7845?

Answer:

Least Common Multiple of 7839 and 7845 = 20498985

Step 1: Find the prime factorization of 7839

7839 = 3 x 3 x 13 x 67

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 = 20498985 = 3 x 3 x 5 x 13 x 67 x 523

Step 4: Therefore, the least common multiple of 7839 and 7845 is 20498985.