Least Common Multiple of 782 and 789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 782 and 789 the smallest integer that is 616998 that is divisible by both numbers.

Least Common Multiple (LCM) of 782 and 789 is 616998.

LCM(782,789) = 616998

LCM of 782 and 789

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

LCM of:
and

Least Common Multiple of 782 and 789

LCM of 782 and 789 is 616998

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 789. First we will calculate the prime factors of 782 and 789.

Prime Factorization of 782


2 782
17 391
23 23
1

Prime factors of 782 are 2, 17,23. Prime factorization of 782 in exponential form is:

782 = 21×171×231

Prime Factorization of 789


3 789
263 263
1

Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:

789 = 31×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 789.

LCM(782,789) = 21×31×171×231×2631
LCM(782,789) = 616998

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Least Common Multiple of 782 and 789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 782 and 789, than apply into the LCM equation.

GCF(782,789) = 1
LCM(782,789) = ( 782 × 789) / 1
LCM(782,789) = 616998 / 1
LCM(782,789) = 616998

Properties of LCM 782 and 789

(i) The LCM of 789 and 782 is associative

LCM of 782 and 789 = LCM of 789 and 782

Related Least Common Multiples of 782

Related Least Common Multiples of 789

Frequently Asked Questions on LCM of 782 and 789

1. What is the LCM of 782 and 789?

Answer: LCM of 782 and 789 is 616998.

2. What are the Factors of 782?

Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.

3. What are the Factors of 789?

Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.

4. How to Find the LCM of 782 and 789?

Answer:

Least Common Multiple of 782 and 789 = 616998

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

Step 2: Find the prime factorization of 789

789 = 3 x 263

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

LCM = 616998 = 2 x 3 x 17 x 23 x 263

Step 4: Therefore, the least common multiple of 782 and 789 is 616998.