Least Common Multiple of 7809 and 7817

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 7817 the smallest integer that is 61042953 that is divisible by both numbers.

Least Common Multiple (LCM) of 7809 and 7817 is 61042953.

LCM(7809,7817) = 61042953

LCM of 7809 and 7817

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

LCM of:
and

Least Common Multiple of 7809 and 7817

LCM of 7809 and 7817 is 61042953

Least common multiple can be found by multiplying the highest exponent prime factors of 7809 and 7817. First we will calculate the prime factors of 7809 and 7817.

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 7817


7817 7817
1

Prime factors of 7817 are 7817. Prime factorization of 7817 in exponential form is:

7817 = 78171

Now multiplying the highest exponent prime factors to calculate the LCM of 7809 and 7817.

LCM(7809,7817) = 31×191×1371×78171
LCM(7809,7817) = 61042953

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 7817

List of positive integer factors of 7817 that divides 7817 without a remainder.

1, 7817

Least Common Multiple of 7809 and 7817 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 7817, than apply into the LCM equation.

GCF(7809,7817) = 1
LCM(7809,7817) = ( 7809 × 7817) / 1
LCM(7809,7817) = 61042953 / 1
LCM(7809,7817) = 61042953

Properties of LCM 7809 and 7817

(i) The LCM of 7817 and 7809 is associative

LCM of 7809 and 7817 = LCM of 7817 and 7809

Related Least Common Multiples of 7809

Related Least Common Multiples of 7817

Frequently Asked Questions on LCM of 7809 and 7817

1. What is the LCM of 7809 and 7817?

Answer: LCM of 7809 and 7817 is 61042953.

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 7817?

Answer: Factors of 7817 are 1, 7817. There are 2 integers that are factors of 7817. The greatest factor of 7817 is 7817.

4. How to Find the LCM of 7809 and 7817?

Answer:

Least Common Multiple of 7809 and 7817 = 61042953

Step 1: Find the prime factorization of 7809

7809 = 3 x 19 x 137

Step 2: Find the prime factorization of 7817

7817 = 7817

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

LCM = 61042953 = 3 x 19 x 137 x 7817

Step 4: Therefore, the least common multiple of 7809 and 7817 is 61042953.