Least Common Multiple of 7805 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 7805 and 7809 the smallest integer that is 60949245 that is divisible by both numbers.

Least Common Multiple (LCM) of 7805 and 7809 is 60949245.

LCM(7805,7809) = 60949245

LCM of 7805 and 7809

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

LCM of:
and

Least Common Multiple of 7805 and 7809

LCM of 7805 and 7809 is 60949245

Least common multiple can be found by multiplying the highest exponent prime factors of 7805 and 7809. First we will calculate the prime factors of 7805 and 7809.

Prime Factorization of 7805


5 7805
7 1561
223 223
1

Prime factors of 7805 are 5, 7,223. Prime factorization of 7805 in exponential form is:

7805 = 51×71×2231

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 7805 and 7809.

LCM(7805,7809) = 31×51×71×191×1371×2231
LCM(7805,7809) = 60949245

Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1, 5, 7, 35, 223, 1115, 1561, 7805

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 7805 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 7805 and 7809, than apply into the LCM equation.

GCF(7805,7809) = 1
LCM(7805,7809) = ( 7805 × 7809) / 1
LCM(7805,7809) = 60949245 / 1
LCM(7805,7809) = 60949245

Properties of LCM 7805 and 7809

(i) The LCM of 7809 and 7805 is associative

LCM of 7805 and 7809 = LCM of 7809 and 7805

Related Least Common Multiples of 7805

Related Least Common Multiples of 7809

Frequently Asked Questions on LCM of 7805 and 7809

1. What is the LCM of 7805 and 7809?

Answer: LCM of 7805 and 7809 is 60949245.

2. What are the Factors of 7805?

Answer: Factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805. There are 8 integers that are factors of 7805. The greatest factor of 7805 is 7805.

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 7805 and 7809?

Answer:

Least Common Multiple of 7805 and 7809 = 60949245

Step 1: Find the prime factorization of 7805

7805 = 5 x 7 x 223

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 = 60949245 = 3 x 5 x 7 x 19 x 137 x 223

Step 4: Therefore, the least common multiple of 7805 and 7809 is 60949245.