Least Common Multiple of 2773 and 2780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2773 and 2780 the smallest integer that is 7708940 that is divisible by both numbers.

Least Common Multiple (LCM) of 2773 and 2780 is 7708940.

LCM(2773,2780) = 7708940

LCM of 2773 and 2780

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

LCM of:
and

Least Common Multiple of 2773 and 2780

LCM of 2773 and 2780 is 7708940

Least common multiple can be found by multiplying the highest exponent prime factors of 2773 and 2780. First we will calculate the prime factors of 2773 and 2780.

Prime Factorization of 2773


47 2773
59 59
1

Prime factors of 2773 are 47,59. Prime factorization of 2773 in exponential form is:

2773 = 471×591

Prime Factorization of 2780


2 2780
2 1390
5 695
139 139
1

Prime factors of 2780 are 2, 5,139. Prime factorization of 2780 in exponential form is:

2780 = 22×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2773 and 2780.

LCM(2773,2780) = 22×51×471×591×1391
LCM(2773,2780) = 7708940

Factors of 2773

List of positive integer factors of 2773 that divides 2773 without a remainder.

1, 47, 59, 2773

Factors of 2780

List of positive integer factors of 2780 that divides 2780 without a remainder.

1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780

Least Common Multiple of 2773 and 2780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2773 and 2780, than apply into the LCM equation.

GCF(2773,2780) = 1
LCM(2773,2780) = ( 2773 × 2780) / 1
LCM(2773,2780) = 7708940 / 1
LCM(2773,2780) = 7708940

Properties of LCM 2773 and 2780

(i) The LCM of 2780 and 2773 is associative

LCM of 2773 and 2780 = LCM of 2780 and 2773

Related Least Common Multiples of 2773

Related Least Common Multiples of 2780

Frequently Asked Questions on LCM of 2773 and 2780

1. What is the LCM of 2773 and 2780?

Answer: LCM of 2773 and 2780 is 7708940.

2. What are the Factors of 2773?

Answer: Factors of 2773 are 1, 47, 59, 2773. There are 4 integers that are factors of 2773. The greatest factor of 2773 is 2773.

3. What are the Factors of 2780?

Answer: Factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780. There are 12 integers that are factors of 2780. The greatest factor of 2780 is 2780.

4. How to Find the LCM of 2773 and 2780?

Answer:

Least Common Multiple of 2773 and 2780 = 7708940

Step 1: Find the prime factorization of 2773

2773 = 47 x 59

Step 2: Find the prime factorization of 2780

2780 = 2 x 2 x 5 x 139

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

LCM = 7708940 = 2 x 2 x 5 x 47 x 59 x 139

Step 4: Therefore, the least common multiple of 2773 and 2780 is 7708940.