Least Common Multiple of 777 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 777 and 783 the smallest integer that is 202797 that is divisible by both numbers.

Least Common Multiple (LCM) of 777 and 783 is 202797.

LCM(777,783) = 202797

LCM of 777 and 783

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

LCM of:
and

Least Common Multiple of 777 and 783

LCM of 777 and 783 is 202797

Least common multiple can be found by multiplying the highest exponent prime factors of 777 and 783. First we will calculate the prime factors of 777 and 783.

Prime Factorization of 777


3 777
7 259
37 37
1

Prime factors of 777 are 3, 7,37. Prime factorization of 777 in exponential form is:

777 = 31×71×371

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 777 and 783.

LCM(777,783) = 33×71×291×371
LCM(777,783) = 202797

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

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 777 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 777 and 783, than apply into the LCM equation.

GCF(777,783) = 3
LCM(777,783) = ( 777 × 783) / 3
LCM(777,783) = 608391 / 3
LCM(777,783) = 202797

Properties of LCM 777 and 783

(i) The LCM of 783 and 777 is associative

LCM of 777 and 783 = LCM of 783 and 777

Related Least Common Multiples of 777

Related Least Common Multiples of 783

Frequently Asked Questions on LCM of 777 and 783

1. What is the LCM of 777 and 783?

Answer: LCM of 777 and 783 is 202797.

2. What are the Factors of 777?

Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.

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 777 and 783?

Answer:

Least Common Multiple of 777 and 783 = 202797

Step 1: Find the prime factorization of 777

777 = 3 x 7 x 37

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 = 202797 = 3 x 3 x 3 x 7 x 29 x 37

Step 4: Therefore, the least common multiple of 777 and 783 is 202797.