Least Common Multiple of 782 and 783

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 783 the smallest integer that is 612306 that is divisible by both numbers.

Least Common Multiple (LCM) of 782 and 783 is 612306.

LCM(782,783) = 612306

LCM of 782 and 783

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

LCM of:
and

Least Common Multiple of 782 and 783

LCM of 782 and 783 is 612306

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 783. First we will calculate the prime factors of 782 and 783.

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 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 783.

LCM(782,783) = 21×33×171×231×291
LCM(782,783) = 612306

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 783

List of positive integer factors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Least Common Multiple of 782 and 783 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 783, than apply into the LCM equation.

GCF(782,783) = 1
LCM(782,783) = ( 782 × 783) / 1
LCM(782,783) = 612306 / 1
LCM(782,783) = 612306

Properties of LCM 782 and 783

(i) The LCM of 783 and 782 is associative

LCM of 782 and 783 = LCM of 783 and 782

Related Least Common Multiples of 782

Related Least Common Multiples of 783

Frequently Asked Questions on LCM of 782 and 783

1. What is the LCM of 782 and 783?

Answer: LCM of 782 and 783 is 612306.

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 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

4. How to Find the LCM of 782 and 783?

Answer:

Least Common Multiple of 782 and 783 = 612306

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

Step 2: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

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

LCM = 612306 = 2 x 3 x 3 x 3 x 17 x 23 x 29

Step 4: Therefore, the least common multiple of 782 and 783 is 612306.