Least Common Multiple of 7794 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 7794 and 7798 the smallest integer that is 30388806 that is divisible by both numbers.

Least Common Multiple (LCM) of 7794 and 7798 is 30388806.

LCM(7794,7798) = 30388806

LCM of 7794 and 7798

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

LCM of:
and

Least Common Multiple of 7794 and 7798

LCM of 7794 and 7798 is 30388806

Least common multiple can be found by multiplying the highest exponent prime factors of 7794 and 7798. First we will calculate the prime factors of 7794 and 7798.

Prime Factorization of 7794


2 7794
3 3897
3 1299
433 433
1

Prime factors of 7794 are 2, 3,433. Prime factorization of 7794 in exponential form is:

7794 = 21×32×4331

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 7794 and 7798.

LCM(7794,7798) = 21×32×71×4331×5571
LCM(7794,7798) = 30388806

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794

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 7794 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 7794 and 7798, than apply into the LCM equation.

GCF(7794,7798) = 2
LCM(7794,7798) = ( 7794 × 7798) / 2
LCM(7794,7798) = 60777612 / 2
LCM(7794,7798) = 30388806

Properties of LCM 7794 and 7798

(i) The LCM of 7798 and 7794 is associative

LCM of 7794 and 7798 = LCM of 7798 and 7794

Related Least Common Multiples of 7794

Related Least Common Multiples of 7798

Frequently Asked Questions on LCM of 7794 and 7798

1. What is the LCM of 7794 and 7798?

Answer: LCM of 7794 and 7798 is 30388806.

2. What are the Factors of 7794?

Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.

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 7794 and 7798?

Answer:

Least Common Multiple of 7794 and 7798 = 30388806

Step 1: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

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 = 30388806 = 2 x 3 x 3 x 7 x 433 x 557

Step 4: Therefore, the least common multiple of 7794 and 7798 is 30388806.