Least Common Multiple of 7809 and 7815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7809 and 7815 the smallest integer that is 20342445 that is divisible by both numbers.

Least Common Multiple (LCM) of 7809 and 7815 is 20342445.

LCM(7809,7815) = 20342445

LCM of 7809 and 7815

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

LCM of:
and

Least Common Multiple of 7809 and 7815

LCM of 7809 and 7815 is 20342445

Least common multiple can be found by multiplying the highest exponent prime factors of 7809 and 7815. First we will calculate the prime factors of 7809 and 7815.

Prime Factorization of 7809


3 7809
19 2603
137 137
1

Prime factors of 7809 are 3, 19,137. Prime factorization of 7809 in exponential form is:

7809 = 31×191×1371

Prime Factorization of 7815


3 7815
5 2605
521 521
1

Prime factors of 7815 are 3, 5,521. Prime factorization of 7815 in exponential form is:

7815 = 31×51×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 7809 and 7815.

LCM(7809,7815) = 31×51×191×1371×5211
LCM(7809,7815) = 20342445

Factors of 7809

List of positive integer factors of 7809 that divides 7809 without a remainder.

1, 3, 19, 57, 137, 411, 2603, 7809

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1, 3, 5, 15, 521, 1563, 2605, 7815

Least Common Multiple of 7809 and 7815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7809 and 7815, than apply into the LCM equation.

GCF(7809,7815) = 3
LCM(7809,7815) = ( 7809 × 7815) / 3
LCM(7809,7815) = 61027335 / 3
LCM(7809,7815) = 20342445

Properties of LCM 7809 and 7815

(i) The LCM of 7815 and 7809 is associative

LCM of 7809 and 7815 = LCM of 7815 and 7809

Related Least Common Multiples of 7809

Related Least Common Multiples of 7815

Frequently Asked Questions on LCM of 7809 and 7815

1. What is the LCM of 7809 and 7815?

Answer: LCM of 7809 and 7815 is 20342445.

2. What are the Factors of 7809?

Answer: Factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809. There are 8 integers that are factors of 7809. The greatest factor of 7809 is 7809.

3. What are the Factors of 7815?

Answer: Factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815. There are 8 integers that are factors of 7815. The greatest factor of 7815 is 7815.

4. How to Find the LCM of 7809 and 7815?

Answer:

Least Common Multiple of 7809 and 7815 = 20342445

Step 1: Find the prime factorization of 7809

7809 = 3 x 19 x 137

Step 2: Find the prime factorization of 7815

7815 = 3 x 5 x 521

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

LCM = 20342445 = 3 x 5 x 19 x 137 x 521

Step 4: Therefore, the least common multiple of 7809 and 7815 is 20342445.