Least Common Multiple of 782 and 790

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 790 the smallest integer that is 308890 that is divisible by both numbers.

Least Common Multiple (LCM) of 782 and 790 is 308890.

LCM(782,790) = 308890

LCM of 782 and 790

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

LCM of:
and

Least Common Multiple of 782 and 790

LCM of 782 and 790 is 308890

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 790. First we will calculate the prime factors of 782 and 790.

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 790


2 790
5 395
79 79
1

Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 790.

LCM(782,790) = 21×51×171×231×791
LCM(782,790) = 308890

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 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Least Common Multiple of 782 and 790 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 790, than apply into the LCM equation.

GCF(782,790) = 2
LCM(782,790) = ( 782 × 790) / 2
LCM(782,790) = 617780 / 2
LCM(782,790) = 308890

Properties of LCM 782 and 790

(i) The LCM of 790 and 782 is associative

LCM of 782 and 790 = LCM of 790 and 782

Related Least Common Multiples of 782

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 782 and 790

1. What is the LCM of 782 and 790?

Answer: LCM of 782 and 790 is 308890.

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 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

4. How to Find the LCM of 782 and 790?

Answer:

Least Common Multiple of 782 and 790 = 308890

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

Step 2: Find the prime factorization of 790

790 = 2 x 5 x 79

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

LCM = 308890 = 2 x 5 x 17 x 23 x 79

Step 4: Therefore, the least common multiple of 782 and 790 is 308890.