Least Common Multiple of 782 and 788

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 788 the smallest integer that is 308108 that is divisible by both numbers.

Least Common Multiple (LCM) of 782 and 788 is 308108.

LCM(782,788) = 308108

LCM of 782 and 788

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

LCM of:
and

Least Common Multiple of 782 and 788

LCM of 782 and 788 is 308108

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 788. First we will calculate the prime factors of 782 and 788.

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 788


2 788
2 394
197 197
1

Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:

788 = 22×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 788.

LCM(782,788) = 22×171×231×1971
LCM(782,788) = 308108

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 788

List of positive integer factors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Least Common Multiple of 782 and 788 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 788, than apply into the LCM equation.

GCF(782,788) = 2
LCM(782,788) = ( 782 × 788) / 2
LCM(782,788) = 616216 / 2
LCM(782,788) = 308108

Properties of LCM 782 and 788

(i) The LCM of 788 and 782 is associative

LCM of 782 and 788 = LCM of 788 and 782

Related Least Common Multiples of 782

Related Least Common Multiples of 788

Frequently Asked Questions on LCM of 782 and 788

1. What is the LCM of 782 and 788?

Answer: LCM of 782 and 788 is 308108.

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 788?

Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.

4. How to Find the LCM of 782 and 788?

Answer:

Least Common Multiple of 782 and 788 = 308108

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

Step 2: Find the prime factorization of 788

788 = 2 x 2 x 197

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

LCM = 308108 = 2 x 2 x 17 x 23 x 197

Step 4: Therefore, the least common multiple of 782 and 788 is 308108.