Least Common Multiple of 7789 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 7789 and 7794 the smallest integer that is 60707466 that is divisible by both numbers.

Least Common Multiple (LCM) of 7789 and 7794 is 60707466.

LCM(7789,7794) = 60707466

LCM of 7789 and 7794

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

LCM of:
and

Least Common Multiple of 7789 and 7794

LCM of 7789 and 7794 is 60707466

Least common multiple can be found by multiplying the highest exponent prime factors of 7789 and 7794. First we will calculate the prime factors of 7789 and 7794.

Prime Factorization of 7789


7789 7789
1

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

7789 = 77891

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 7789 and 7794.

LCM(7789,7794) = 21×32×4331×77891
LCM(7789,7794) = 60707466

Factors of 7789

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

1, 7789

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 7789 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 7789 and 7794, than apply into the LCM equation.

GCF(7789,7794) = 1
LCM(7789,7794) = ( 7789 × 7794) / 1
LCM(7789,7794) = 60707466 / 1
LCM(7789,7794) = 60707466

Properties of LCM 7789 and 7794

(i) The LCM of 7794 and 7789 is associative

LCM of 7789 and 7794 = LCM of 7794 and 7789

Related Least Common Multiples of 7789

Related Least Common Multiples of 7794

Frequently Asked Questions on LCM of 7789 and 7794

1. What is the LCM of 7789 and 7794?

Answer: LCM of 7789 and 7794 is 60707466.

2. 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.

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 7789 and 7794?

Answer:

Least Common Multiple of 7789 and 7794 = 60707466

Step 1: Find the prime factorization of 7789

7789 = 7789

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 = 60707466 = 2 x 3 x 3 x 433 x 7789

Step 4: Therefore, the least common multiple of 7789 and 7794 is 60707466.