Least Common Multiple of 7798 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 7798 and 7803 the smallest integer that is 60847794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7798 and 7803 is 60847794.

LCM(7798,7803) = 60847794

LCM of 7798 and 7803

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

LCM of:
and

Least Common Multiple of 7798 and 7803

LCM of 7798 and 7803 is 60847794

Least common multiple can be found by multiplying the highest exponent prime factors of 7798 and 7803. First we will calculate the prime factors of 7798 and 7803.

Prime Factorization of 7798


2 7798
7 3899
557 557
1

Prime factors of 7798 are 2, 7,557. Prime factorization of 7798 in exponential form is:

7798 = 21×71×5571

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 7798 and 7803.

LCM(7798,7803) = 21×33×71×172×5571
LCM(7798,7803) = 60847794

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1, 2, 7, 14, 557, 1114, 3899, 7798

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 7798 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 7798 and 7803, than apply into the LCM equation.

GCF(7798,7803) = 1
LCM(7798,7803) = ( 7798 × 7803) / 1
LCM(7798,7803) = 60847794 / 1
LCM(7798,7803) = 60847794

Properties of LCM 7798 and 7803

(i) The LCM of 7803 and 7798 is associative

LCM of 7798 and 7803 = LCM of 7803 and 7798

Related Least Common Multiples of 7798

Related Least Common Multiples of 7803

Frequently Asked Questions on LCM of 7798 and 7803

1. What is the LCM of 7798 and 7803?

Answer: LCM of 7798 and 7803 is 60847794.

2. What are the Factors of 7798?

Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.

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 7798 and 7803?

Answer:

Least Common Multiple of 7798 and 7803 = 60847794

Step 1: Find the prime factorization of 7798

7798 = 2 x 7 x 557

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 = 60847794 = 2 x 3 x 3 x 3 x 7 x 17 x 17 x 557

Step 4: Therefore, the least common multiple of 7798 and 7803 is 60847794.