Least Common Multiple of 2774 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 2774 and 2780 the smallest integer that is 3855860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2774 and 2780 is 3855860.

LCM(2774,2780) = 3855860

LCM of 2774 and 2780

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

LCM of:
and

Least Common Multiple of 2774 and 2780

LCM of 2774 and 2780 is 3855860

Least common multiple can be found by multiplying the highest exponent prime factors of 2774 and 2780. First we will calculate the prime factors of 2774 and 2780.

Prime Factorization of 2774


2 2774
19 1387
73 73
1

Prime factors of 2774 are 2, 19,73. Prime factorization of 2774 in exponential form is:

2774 = 21×191×731

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 2774 and 2780.

LCM(2774,2780) = 22×51×191×731×1391
LCM(2774,2780) = 3855860

Factors of 2774

List of positive integer factors of 2774 that divides 2774 without a remainder.

1, 2, 19, 38, 73, 146, 1387, 2774

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 2774 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 2774 and 2780, than apply into the LCM equation.

GCF(2774,2780) = 2
LCM(2774,2780) = ( 2774 × 2780) / 2
LCM(2774,2780) = 7711720 / 2
LCM(2774,2780) = 3855860

Properties of LCM 2774 and 2780

(i) The LCM of 2780 and 2774 is associative

LCM of 2774 and 2780 = LCM of 2780 and 2774

Related Least Common Multiples of 2774

Related Least Common Multiples of 2780

Frequently Asked Questions on LCM of 2774 and 2780

1. What is the LCM of 2774 and 2780?

Answer: LCM of 2774 and 2780 is 3855860.

2. What are the Factors of 2774?

Answer: Factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774. There are 8 integers that are factors of 2774. The greatest factor of 2774 is 2774.

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 2774 and 2780?

Answer:

Least Common Multiple of 2774 and 2780 = 3855860

Step 1: Find the prime factorization of 2774

2774 = 2 x 19 x 73

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 = 3855860 = 2 x 2 x 5 x 19 x 73 x 139

Step 4: Therefore, the least common multiple of 2774 and 2780 is 3855860.