Least Common Multiple of 2769 and 2777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2769 and 2777 the smallest integer that is 7689513 that is divisible by both numbers.

Least Common Multiple (LCM) of 2769 and 2777 is 7689513.

LCM(2769,2777) = 7689513

LCM of 2769 and 2777

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

LCM of:
and

Least Common Multiple of 2769 and 2777

LCM of 2769 and 2777 is 7689513

Least common multiple can be found by multiplying the highest exponent prime factors of 2769 and 2777. First we will calculate the prime factors of 2769 and 2777.

Prime Factorization of 2769


3 2769
13 923
71 71
1

Prime factors of 2769 are 3, 13,71. Prime factorization of 2769 in exponential form is:

2769 = 31×131×711

Prime Factorization of 2777


2777 2777
1

Prime factors of 2777 are 2777. Prime factorization of 2777 in exponential form is:

2777 = 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 2769 and 2777.

LCM(2769,2777) = 31×131×711×27771
LCM(2769,2777) = 7689513

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1, 3, 13, 39, 71, 213, 923, 2769

Factors of 2777

List of positive integer factors of 2777 that divides 2777 without a remainder.

1, 2777

Least Common Multiple of 2769 and 2777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2769 and 2777, than apply into the LCM equation.

GCF(2769,2777) = 1
LCM(2769,2777) = ( 2769 × 2777) / 1
LCM(2769,2777) = 7689513 / 1
LCM(2769,2777) = 7689513

Properties of LCM 2769 and 2777

(i) The LCM of 2777 and 2769 is associative

LCM of 2769 and 2777 = LCM of 2777 and 2769

Related Least Common Multiples of 2769

Related Least Common Multiples of 2777

Frequently Asked Questions on LCM of 2769 and 2777

1. What is the LCM of 2769 and 2777?

Answer: LCM of 2769 and 2777 is 7689513.

2. What are the Factors of 2769?

Answer: Factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769. There are 8 integers that are factors of 2769. The greatest factor of 2769 is 2769.

3. What are the Factors of 2777?

Answer: Factors of 2777 are 1, 2777. There are 2 integers that are factors of 2777. The greatest factor of 2777 is 2777.

4. How to Find the LCM of 2769 and 2777?

Answer:

Least Common Multiple of 2769 and 2777 = 7689513

Step 1: Find the prime factorization of 2769

2769 = 3 x 13 x 71

Step 2: Find the prime factorization of 2777

2777 = 2777

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

LCM = 7689513 = 3 x 13 x 71 x 2777

Step 4: Therefore, the least common multiple of 2769 and 2777 is 7689513.