Least Common Multiple of 7803 and 7809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7803 and 7809 the smallest integer that is 20311209 that is divisible by both numbers.

Least Common Multiple (LCM) of 7803 and 7809 is 20311209.

LCM(7803,7809) = 20311209

LCM of 7803 and 7809

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

LCM of:
and

Least Common Multiple of 7803 and 7809

LCM of 7803 and 7809 is 20311209

Least common multiple can be found by multiplying the highest exponent prime factors of 7803 and 7809. First we will calculate the prime factors of 7803 and 7809.

Prime Factorization of 7803


3 7803
3 2601
3 867
17 289
17 17
1

Prime factors of 7803 are 3,17. Prime factorization of 7803 in exponential form is:

7803 = 33×172

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7803 and 7809.

LCM(7803,7809) = 33×172×191×1371
LCM(7803,7809) = 20311209

Factors of 7803

List of positive integer factors of 7803 that divides 7803 without a remainder.

1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803

Factors of 7809

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

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

Least Common Multiple of 7803 and 7809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7803 and 7809, than apply into the LCM equation.

GCF(7803,7809) = 3
LCM(7803,7809) = ( 7803 × 7809) / 3
LCM(7803,7809) = 60933627 / 3
LCM(7803,7809) = 20311209

Properties of LCM 7803 and 7809

(i) The LCM of 7809 and 7803 is associative

LCM of 7803 and 7809 = LCM of 7809 and 7803

Related Least Common Multiples of 7803

Related Least Common Multiples of 7809

Frequently Asked Questions on LCM of 7803 and 7809

1. What is the LCM of 7803 and 7809?

Answer: LCM of 7803 and 7809 is 20311209.

2. What are the Factors of 7803?

Answer: Factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803. There are 12 integers that are factors of 7803. The greatest factor of 7803 is 7803.

3. 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.

4. How to Find the LCM of 7803 and 7809?

Answer:

Least Common Multiple of 7803 and 7809 = 20311209

Step 1: Find the prime factorization of 7803

7803 = 3 x 3 x 3 x 17 x 17

Step 2: Find the prime factorization of 7809

7809 = 3 x 19 x 137

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

LCM = 20311209 = 3 x 3 x 3 x 17 x 17 x 19 x 137

Step 4: Therefore, the least common multiple of 7803 and 7809 is 20311209.