Least Common Multiple of 7797 and 7805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7797 and 7805 the smallest integer that is 60855585 that is divisible by both numbers.

Least Common Multiple (LCM) of 7797 and 7805 is 60855585.

LCM(7797,7805) = 60855585

LCM of 7797 and 7805

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

LCM of:
and

Least Common Multiple of 7797 and 7805

LCM of 7797 and 7805 is 60855585

Least common multiple can be found by multiplying the highest exponent prime factors of 7797 and 7805. First we will calculate the prime factors of 7797 and 7805.

Prime Factorization of 7797


3 7797
23 2599
113 113
1

Prime factors of 7797 are 3, 23,113. Prime factorization of 7797 in exponential form is:

7797 = 31×231×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7797 and 7805.

LCM(7797,7805) = 31×51×71×231×1131×2231
LCM(7797,7805) = 60855585

Factors of 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1, 3, 23, 69, 113, 339, 2599, 7797

Factors of 7805

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

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

Least Common Multiple of 7797 and 7805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7797 and 7805, than apply into the LCM equation.

GCF(7797,7805) = 1
LCM(7797,7805) = ( 7797 × 7805) / 1
LCM(7797,7805) = 60855585 / 1
LCM(7797,7805) = 60855585

Properties of LCM 7797 and 7805

(i) The LCM of 7805 and 7797 is associative

LCM of 7797 and 7805 = LCM of 7805 and 7797

Related Least Common Multiples of 7797

Related Least Common Multiples of 7805

Frequently Asked Questions on LCM of 7797 and 7805

1. What is the LCM of 7797 and 7805?

Answer: LCM of 7797 and 7805 is 60855585.

2. What are the Factors of 7797?

Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.

3. 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.

4. How to Find the LCM of 7797 and 7805?

Answer:

Least Common Multiple of 7797 and 7805 = 60855585

Step 1: Find the prime factorization of 7797

7797 = 3 x 23 x 113

Step 2: Find the prime factorization of 7805

7805 = 5 x 7 x 223

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

LCM = 60855585 = 3 x 5 x 7 x 23 x 113 x 223

Step 4: Therefore, the least common multiple of 7797 and 7805 is 60855585.