Least Common Multiple of 775 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 775 and 783 the smallest integer that is 606825 that is divisible by both numbers.

Least Common Multiple (LCM) of 775 and 783 is 606825.

LCM(775,783) = 606825

LCM of 775 and 783

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

LCM of:
and

Least Common Multiple of 775 and 783

LCM of 775 and 783 is 606825

Least common multiple can be found by multiplying the highest exponent prime factors of 775 and 783. First we will calculate the prime factors of 775 and 783.

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 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 775 and 783.

LCM(775,783) = 33×52×291×311
LCM(775,783) = 606825

Factors of 775

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

1, 5, 25, 31, 155, 775

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 775 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 775 and 783, than apply into the LCM equation.

GCF(775,783) = 1
LCM(775,783) = ( 775 × 783) / 1
LCM(775,783) = 606825 / 1
LCM(775,783) = 606825

Properties of LCM 775 and 783

(i) The LCM of 783 and 775 is associative

LCM of 775 and 783 = LCM of 783 and 775

Related Least Common Multiples of 775

Related Least Common Multiples of 783

Frequently Asked Questions on LCM of 775 and 783

1. What is the LCM of 775 and 783?

Answer: LCM of 775 and 783 is 606825.

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 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 775 and 783?

Answer:

Least Common Multiple of 775 and 783 = 606825

Step 1: Find the prime factorization of 775

775 = 5 x 5 x 31

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 = 606825 = 3 x 3 x 3 x 5 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 775 and 783 is 606825.