Least Common Multiple of 773 and 777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 773 and 777 the smallest integer that is 600621 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 777 is 600621.

LCM(773,777) = 600621

LCM of 773 and 777

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

LCM of:
and

Least Common Multiple of 773 and 777

LCM of 773 and 777 is 600621

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 777. First we will calculate the prime factors of 773 and 777.

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 773 and 777.

LCM(773,777) = 31×71×371×7731
LCM(773,777) = 600621

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Factors of 777

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

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

Least Common Multiple of 773 and 777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 773 and 777, than apply into the LCM equation.

GCF(773,777) = 1
LCM(773,777) = ( 773 × 777) / 1
LCM(773,777) = 600621 / 1
LCM(773,777) = 600621

Properties of LCM 773 and 777

(i) The LCM of 777 and 773 is associative

LCM of 773 and 777 = LCM of 777 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 777

Frequently Asked Questions on LCM of 773 and 777

1. What is the LCM of 773 and 777?

Answer: LCM of 773 and 777 is 600621.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

3. 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.

4. How to Find the LCM of 773 and 777?

Answer:

Least Common Multiple of 773 and 777 = 600621

Step 1: Find the prime factorization of 773

773 = 773

Step 2: Find the prime factorization of 777

777 = 3 x 7 x 37

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

LCM = 600621 = 3 x 7 x 37 x 773

Step 4: Therefore, the least common multiple of 773 and 777 is 600621.