Least Common Multiple of 7788 and 7789

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 7789 the smallest integer that is 60660732 that is divisible by both numbers.

Least Common Multiple (LCM) of 7788 and 7789 is 60660732.

LCM(7788,7789) = 60660732

LCM of 7788 and 7789

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

LCM of:
and

Least Common Multiple of 7788 and 7789

LCM of 7788 and 7789 is 60660732

Least common multiple can be found by multiplying the highest exponent prime factors of 7788 and 7789. First we will calculate the prime factors of 7788 and 7789.

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 7789


7789 7789
1

Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:

7789 = 77891

Now multiplying the highest exponent prime factors to calculate the LCM of 7788 and 7789.

LCM(7788,7789) = 22×31×111×591×77891
LCM(7788,7789) = 60660732

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 7789

List of positive integer factors of 7789 that divides 7789 without a remainder.

1, 7789

Least Common Multiple of 7788 and 7789 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 7789, than apply into the LCM equation.

GCF(7788,7789) = 1
LCM(7788,7789) = ( 7788 × 7789) / 1
LCM(7788,7789) = 60660732 / 1
LCM(7788,7789) = 60660732

Properties of LCM 7788 and 7789

(i) The LCM of 7789 and 7788 is associative

LCM of 7788 and 7789 = LCM of 7789 and 7788

Related Least Common Multiples of 7788

Related Least Common Multiples of 7789

Frequently Asked Questions on LCM of 7788 and 7789

1. What is the LCM of 7788 and 7789?

Answer: LCM of 7788 and 7789 is 60660732.

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 7789?

Answer: Factors of 7789 are 1, 7789. There are 2 integers that are factors of 7789. The greatest factor of 7789 is 7789.

4. How to Find the LCM of 7788 and 7789?

Answer:

Least Common Multiple of 7788 and 7789 = 60660732

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 7789

7789 = 7789

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

LCM = 60660732 = 2 x 2 x 3 x 11 x 59 x 7789

Step 4: Therefore, the least common multiple of 7788 and 7789 is 60660732.