Least Common Multiple of 7797 and 7804

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 7804 the smallest integer that is 60847788 that is divisible by both numbers.

Least Common Multiple (LCM) of 7797 and 7804 is 60847788.

LCM(7797,7804) = 60847788

LCM of 7797 and 7804

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

LCM of:
and

Least Common Multiple of 7797 and 7804

LCM of 7797 and 7804 is 60847788

Least common multiple can be found by multiplying the highest exponent prime factors of 7797 and 7804. First we will calculate the prime factors of 7797 and 7804.

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 7804


2 7804
2 3902
1951 1951
1

Prime factors of 7804 are 2,1951. Prime factorization of 7804 in exponential form is:

7804 = 22×19511

Now multiplying the highest exponent prime factors to calculate the LCM of 7797 and 7804.

LCM(7797,7804) = 22×31×231×1131×19511
LCM(7797,7804) = 60847788

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 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1, 2, 4, 1951, 3902, 7804

Least Common Multiple of 7797 and 7804 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 7804, than apply into the LCM equation.

GCF(7797,7804) = 1
LCM(7797,7804) = ( 7797 × 7804) / 1
LCM(7797,7804) = 60847788 / 1
LCM(7797,7804) = 60847788

Properties of LCM 7797 and 7804

(i) The LCM of 7804 and 7797 is associative

LCM of 7797 and 7804 = LCM of 7804 and 7797

Related Least Common Multiples of 7797

Related Least Common Multiples of 7804

Frequently Asked Questions on LCM of 7797 and 7804

1. What is the LCM of 7797 and 7804?

Answer: LCM of 7797 and 7804 is 60847788.

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 7804?

Answer: Factors of 7804 are 1, 2, 4, 1951, 3902, 7804. There are 6 integers that are factors of 7804. The greatest factor of 7804 is 7804.

4. How to Find the LCM of 7797 and 7804?

Answer:

Least Common Multiple of 7797 and 7804 = 60847788

Step 1: Find the prime factorization of 7797

7797 = 3 x 23 x 113

Step 2: Find the prime factorization of 7804

7804 = 2 x 2 x 1951

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

LCM = 60847788 = 2 x 2 x 3 x 23 x 113 x 1951

Step 4: Therefore, the least common multiple of 7797 and 7804 is 60847788.