Least Common Multiple of 776 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 776 and 777 the smallest integer that is 602952 that is divisible by both numbers.

Least Common Multiple (LCM) of 776 and 777 is 602952.

LCM(776,777) = 602952

LCM of 776 and 777

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

LCM of:
and

Least Common Multiple of 776 and 777

LCM of 776 and 777 is 602952

Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 777. First we will calculate the prime factors of 776 and 777.

Prime Factorization of 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

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 776 and 777.

LCM(776,777) = 23×31×71×371×971
LCM(776,777) = 602952

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 776 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 776 and 777, than apply into the LCM equation.

GCF(776,777) = 1
LCM(776,777) = ( 776 × 777) / 1
LCM(776,777) = 602952 / 1
LCM(776,777) = 602952

Properties of LCM 776 and 777

(i) The LCM of 777 and 776 is associative

LCM of 776 and 777 = LCM of 777 and 776

Related Least Common Multiples of 776

Related Least Common Multiples of 777

Frequently Asked Questions on LCM of 776 and 777

1. What is the LCM of 776 and 777?

Answer: LCM of 776 and 777 is 602952.

2. What are the Factors of 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

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 776 and 777?

Answer:

Least Common Multiple of 776 and 777 = 602952

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 = 602952 = 2 x 2 x 2 x 3 x 7 x 37 x 97

Step 4: Therefore, the least common multiple of 776 and 777 is 602952.