Least Common Multiple of 780 and 782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 780 and 782 the smallest integer that is 304980 that is divisible by both numbers.

Least Common Multiple (LCM) of 780 and 782 is 304980.

LCM(780,782) = 304980

LCM of 780 and 782

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

LCM of:
and

Least Common Multiple of 780 and 782

LCM of 780 and 782 is 304980

Least common multiple can be found by multiplying the highest exponent prime factors of 780 and 782. First we will calculate the prime factors of 780 and 782.

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 780 and 782.

LCM(780,782) = 22×31×51×131×171×231
LCM(780,782) = 304980

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Factors of 782

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

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

Least Common Multiple of 780 and 782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 780 and 782, than apply into the LCM equation.

GCF(780,782) = 2
LCM(780,782) = ( 780 × 782) / 2
LCM(780,782) = 609960 / 2
LCM(780,782) = 304980

Properties of LCM 780 and 782

(i) The LCM of 782 and 780 is associative

LCM of 780 and 782 = LCM of 782 and 780

Related Least Common Multiples of 780

Related Least Common Multiples of 782

Frequently Asked Questions on LCM of 780 and 782

1. What is the LCM of 780 and 782?

Answer: LCM of 780 and 782 is 304980.

2. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

3. 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.

4. How to Find the LCM of 780 and 782?

Answer:

Least Common Multiple of 780 and 782 = 304980

Step 1: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 782

782 = 2 x 17 x 23

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

LCM = 304980 = 2 x 2 x 3 x 5 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 780 and 782 is 304980.