Least Common Multiple of 777 and 780

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 780 the smallest integer that is 202020 that is divisible by both numbers.

Least Common Multiple (LCM) of 777 and 780 is 202020.

LCM(777,780) = 202020

LCM of 777 and 780

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

LCM of:
and

Least Common Multiple of 777 and 780

LCM of 777 and 780 is 202020

Least common multiple can be found by multiplying the highest exponent prime factors of 777 and 780. First we will calculate the prime factors of 777 and 780.

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 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 777 and 780.

LCM(777,780) = 22×31×51×71×131×371
LCM(777,780) = 202020

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 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Least Common Multiple of 777 and 780 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 780, than apply into the LCM equation.

GCF(777,780) = 3
LCM(777,780) = ( 777 × 780) / 3
LCM(777,780) = 606060 / 3
LCM(777,780) = 202020

Properties of LCM 777 and 780

(i) The LCM of 780 and 777 is associative

LCM of 777 and 780 = LCM of 780 and 777

Related Least Common Multiples of 777

Related Least Common Multiples of 780

Frequently Asked Questions on LCM of 777 and 780

1. What is the LCM of 777 and 780?

Answer: LCM of 777 and 780 is 202020.

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 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

4. How to Find the LCM of 777 and 780?

Answer:

Least Common Multiple of 777 and 780 = 202020

Step 1: Find the prime factorization of 777

777 = 3 x 7 x 37

Step 2: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

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

LCM = 202020 = 2 x 2 x 3 x 5 x 7 x 13 x 37

Step 4: Therefore, the least common multiple of 777 and 780 is 202020.