Least Common Multiple of 7793 and 7798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7793 and 7798 the smallest integer that is 60769814 that is divisible by both numbers.

Least Common Multiple (LCM) of 7793 and 7798 is 60769814.

LCM(7793,7798) = 60769814

LCM of 7793 and 7798

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

LCM of:
and

Least Common Multiple of 7793 and 7798

LCM of 7793 and 7798 is 60769814

Least common multiple can be found by multiplying the highest exponent prime factors of 7793 and 7798. First we will calculate the prime factors of 7793 and 7798.

Prime Factorization of 7793


7793 7793
1

Prime factors of 7793 are 7793. Prime factorization of 7793 in exponential form is:

7793 = 77931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7793 and 7798.

LCM(7793,7798) = 21×71×5571×77931
LCM(7793,7798) = 60769814

Factors of 7793

List of positive integer factors of 7793 that divides 7793 without a remainder.

1, 7793

Factors of 7798

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

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

Least Common Multiple of 7793 and 7798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7793 and 7798, than apply into the LCM equation.

GCF(7793,7798) = 1
LCM(7793,7798) = ( 7793 × 7798) / 1
LCM(7793,7798) = 60769814 / 1
LCM(7793,7798) = 60769814

Properties of LCM 7793 and 7798

(i) The LCM of 7798 and 7793 is associative

LCM of 7793 and 7798 = LCM of 7798 and 7793

Related Least Common Multiples of 7793

Related Least Common Multiples of 7798

Frequently Asked Questions on LCM of 7793 and 7798

1. What is the LCM of 7793 and 7798?

Answer: LCM of 7793 and 7798 is 60769814.

2. What are the Factors of 7793?

Answer: Factors of 7793 are 1, 7793. There are 2 integers that are factors of 7793. The greatest factor of 7793 is 7793.

3. 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.

4. How to Find the LCM of 7793 and 7798?

Answer:

Least Common Multiple of 7793 and 7798 = 60769814

Step 1: Find the prime factorization of 7793

7793 = 7793

Step 2: Find the prime factorization of 7798

7798 = 2 x 7 x 557

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

LCM = 60769814 = 2 x 7 x 557 x 7793

Step 4: Therefore, the least common multiple of 7793 and 7798 is 60769814.