Least Common Multiple of 7797 and 7803

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 7803 the smallest integer that is 20279997 that is divisible by both numbers.

Least Common Multiple (LCM) of 7797 and 7803 is 20279997.

LCM(7797,7803) = 20279997

LCM of 7797 and 7803

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

LCM of:
and

Least Common Multiple of 7797 and 7803

LCM of 7797 and 7803 is 20279997

Least common multiple can be found by multiplying the highest exponent prime factors of 7797 and 7803. First we will calculate the prime factors of 7797 and 7803.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7797 and 7803.

LCM(7797,7803) = 33×172×231×1131
LCM(7797,7803) = 20279997

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 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

Least Common Multiple of 7797 and 7803 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 7803, than apply into the LCM equation.

GCF(7797,7803) = 3
LCM(7797,7803) = ( 7797 × 7803) / 3
LCM(7797,7803) = 60839991 / 3
LCM(7797,7803) = 20279997

Properties of LCM 7797 and 7803

(i) The LCM of 7803 and 7797 is associative

LCM of 7797 and 7803 = LCM of 7803 and 7797

Related Least Common Multiples of 7797

Related Least Common Multiples of 7803

Frequently Asked Questions on LCM of 7797 and 7803

1. What is the LCM of 7797 and 7803?

Answer: LCM of 7797 and 7803 is 20279997.

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 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.

4. How to Find the LCM of 7797 and 7803?

Answer:

Least Common Multiple of 7797 and 7803 = 20279997

Step 1: Find the prime factorization of 7797

7797 = 3 x 23 x 113

Step 2: Find the prime factorization of 7803

7803 = 3 x 3 x 3 x 17 x 17

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

LCM = 20279997 = 3 x 3 x 3 x 17 x 17 x 23 x 113

Step 4: Therefore, the least common multiple of 7797 and 7803 is 20279997.