Least Common Multiple of 771 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 771 and 777 the smallest integer that is 199689 that is divisible by both numbers.

Least Common Multiple (LCM) of 771 and 777 is 199689.

LCM(771,777) = 199689

LCM of 771 and 777

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

LCM of:
and

Least Common Multiple of 771 and 777

LCM of 771 and 777 is 199689

Least common multiple can be found by multiplying the highest exponent prime factors of 771 and 777. First we will calculate the prime factors of 771 and 777.

Prime Factorization of 771


3 771
257 257
1

Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:

771 = 31×2571

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 771 and 777.

LCM(771,777) = 31×71×371×2571
LCM(771,777) = 199689

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 771 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 771 and 777, than apply into the LCM equation.

GCF(771,777) = 3
LCM(771,777) = ( 771 × 777) / 3
LCM(771,777) = 599067 / 3
LCM(771,777) = 199689

Properties of LCM 771 and 777

(i) The LCM of 777 and 771 is associative

LCM of 771 and 777 = LCM of 777 and 771

Related Least Common Multiples of 771

Related Least Common Multiples of 777

Frequently Asked Questions on LCM of 771 and 777

1. What is the LCM of 771 and 777?

Answer: LCM of 771 and 777 is 199689.

2. What are the Factors of 771?

Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.

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 771 and 777?

Answer:

Least Common Multiple of 771 and 777 = 199689

Step 1: Find the prime factorization of 771

771 = 3 x 257

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 = 199689 = 3 x 7 x 37 x 257

Step 4: Therefore, the least common multiple of 771 and 777 is 199689.