Least Common Multiple of 775 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 775 and 782 the smallest integer that is 606050 that is divisible by both numbers.

Least Common Multiple (LCM) of 775 and 782 is 606050.

LCM(775,782) = 606050

LCM of 775 and 782

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

LCM of:
and

Least Common Multiple of 775 and 782

LCM of 775 and 782 is 606050

Least common multiple can be found by multiplying the highest exponent prime factors of 775 and 782. First we will calculate the prime factors of 775 and 782.

Prime Factorization of 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

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 775 and 782.

LCM(775,782) = 21×52×171×231×311
LCM(775,782) = 606050

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

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 775 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 775 and 782, than apply into the LCM equation.

GCF(775,782) = 1
LCM(775,782) = ( 775 × 782) / 1
LCM(775,782) = 606050 / 1
LCM(775,782) = 606050

Properties of LCM 775 and 782

(i) The LCM of 782 and 775 is associative

LCM of 775 and 782 = LCM of 782 and 775

Related Least Common Multiples of 775

Related Least Common Multiples of 782

Frequently Asked Questions on LCM of 775 and 782

1. What is the LCM of 775 and 782?

Answer: LCM of 775 and 782 is 606050.

2. What are the Factors of 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

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 775 and 782?

Answer:

Least Common Multiple of 775 and 782 = 606050

Step 1: Find the prime factorization of 775

775 = 5 x 5 x 31

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 = 606050 = 2 x 5 x 5 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 775 and 782 is 606050.