Least Common Multiple of 7788 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 7788 and 7794 the smallest integer that is 10116612 that is divisible by both numbers.

Least Common Multiple (LCM) of 7788 and 7794 is 10116612.

LCM(7788,7794) = 10116612

LCM of 7788 and 7794

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

LCM of:
and

Least Common Multiple of 7788 and 7794

LCM of 7788 and 7794 is 10116612

Least common multiple can be found by multiplying the highest exponent prime factors of 7788 and 7794. First we will calculate the prime factors of 7788 and 7794.

Prime Factorization of 7788


2 7788
2 3894
3 1947
11 649
59 59
1

Prime factors of 7788 are 2, 3, 11,59. Prime factorization of 7788 in exponential form is:

7788 = 22×31×111×591

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 7788 and 7794.

LCM(7788,7794) = 22×32×111×591×4331
LCM(7788,7794) = 10116612

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788

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 7788 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 7788 and 7794, than apply into the LCM equation.

GCF(7788,7794) = 6
LCM(7788,7794) = ( 7788 × 7794) / 6
LCM(7788,7794) = 60699672 / 6
LCM(7788,7794) = 10116612

Properties of LCM 7788 and 7794

(i) The LCM of 7794 and 7788 is associative

LCM of 7788 and 7794 = LCM of 7794 and 7788

Related Least Common Multiples of 7788

Related Least Common Multiples of 7794

Frequently Asked Questions on LCM of 7788 and 7794

1. What is the LCM of 7788 and 7794?

Answer: LCM of 7788 and 7794 is 10116612.

2. What are the Factors of 7788?

Answer: Factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788. There are 24 integers that are factors of 7788. The greatest factor of 7788 is 7788.

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 7788 and 7794?

Answer:

Least Common Multiple of 7788 and 7794 = 10116612

Step 1: Find the prime factorization of 7788

7788 = 2 x 2 x 3 x 11 x 59

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 = 10116612 = 2 x 2 x 3 x 3 x 11 x 59 x 433

Step 4: Therefore, the least common multiple of 7788 and 7794 is 10116612.