Least Common Multiple of 7790 and 7794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7790 and 7794 the smallest integer that is 30357630 that is divisible by both numbers.

Least Common Multiple (LCM) of 7790 and 7794 is 30357630.

LCM(7790,7794) = 30357630

LCM of 7790 and 7794

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

LCM of:
and

Least Common Multiple of 7790 and 7794

LCM of 7790 and 7794 is 30357630

Least common multiple can be found by multiplying the highest exponent prime factors of 7790 and 7794. First we will calculate the prime factors of 7790 and 7794.

Prime Factorization of 7790


2 7790
5 3895
19 779
41 41
1

Prime factors of 7790 are 2, 5, 19,41. Prime factorization of 7790 in exponential form is:

7790 = 21×51×191×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7790 and 7794.

LCM(7790,7794) = 21×32×51×191×411×4331
LCM(7790,7794) = 30357630

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790

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

Least Common Multiple of 7790 and 7794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7790 and 7794, than apply into the LCM equation.

GCF(7790,7794) = 2
LCM(7790,7794) = ( 7790 × 7794) / 2
LCM(7790,7794) = 60715260 / 2
LCM(7790,7794) = 30357630

Properties of LCM 7790 and 7794

(i) The LCM of 7794 and 7790 is associative

LCM of 7790 and 7794 = LCM of 7794 and 7790

Related Least Common Multiples of 7790

Related Least Common Multiples of 7794

Frequently Asked Questions on LCM of 7790 and 7794

1. What is the LCM of 7790 and 7794?

Answer: LCM of 7790 and 7794 is 30357630.

2. What are the Factors of 7790?

Answer: Factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790. There are 16 integers that are factors of 7790. The greatest factor of 7790 is 7790.

3. 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.

4. How to Find the LCM of 7790 and 7794?

Answer:

Least Common Multiple of 7790 and 7794 = 30357630

Step 1: Find the prime factorization of 7790

7790 = 2 x 5 x 19 x 41

Step 2: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

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

LCM = 30357630 = 2 x 3 x 3 x 5 x 19 x 41 x 433

Step 4: Therefore, the least common multiple of 7790 and 7794 is 30357630.