Least Common Multiple of 2764 and 2770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2764 and 2770 the smallest integer that is 3828140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2764 and 2770 is 3828140.

LCM(2764,2770) = 3828140

LCM of 2764 and 2770

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

LCM of:
and

Least Common Multiple of 2764 and 2770

LCM of 2764 and 2770 is 3828140

Least common multiple can be found by multiplying the highest exponent prime factors of 2764 and 2770. First we will calculate the prime factors of 2764 and 2770.

Prime Factorization of 2764


2 2764
2 1382
691 691
1

Prime factors of 2764 are 2,691. Prime factorization of 2764 in exponential form is:

2764 = 22×6911

Prime Factorization of 2770


2 2770
5 1385
277 277
1

Prime factors of 2770 are 2, 5,277. Prime factorization of 2770 in exponential form is:

2770 = 21×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 2764 and 2770.

LCM(2764,2770) = 22×51×2771×6911
LCM(2764,2770) = 3828140

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1, 2, 4, 691, 1382, 2764

Factors of 2770

List of positive integer factors of 2770 that divides 2770 without a remainder.

1, 2, 5, 10, 277, 554, 1385, 2770

Least Common Multiple of 2764 and 2770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2764 and 2770, than apply into the LCM equation.

GCF(2764,2770) = 2
LCM(2764,2770) = ( 2764 × 2770) / 2
LCM(2764,2770) = 7656280 / 2
LCM(2764,2770) = 3828140

Properties of LCM 2764 and 2770

(i) The LCM of 2770 and 2764 is associative

LCM of 2764 and 2770 = LCM of 2770 and 2764

Related Least Common Multiples of 2764

Related Least Common Multiples of 2770

Frequently Asked Questions on LCM of 2764 and 2770

1. What is the LCM of 2764 and 2770?

Answer: LCM of 2764 and 2770 is 3828140.

2. What are the Factors of 2764?

Answer: Factors of 2764 are 1, 2, 4, 691, 1382, 2764. There are 6 integers that are factors of 2764. The greatest factor of 2764 is 2764.

3. What are the Factors of 2770?

Answer: Factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770. There are 8 integers that are factors of 2770. The greatest factor of 2770 is 2770.

4. How to Find the LCM of 2764 and 2770?

Answer:

Least Common Multiple of 2764 and 2770 = 3828140

Step 1: Find the prime factorization of 2764

2764 = 2 x 2 x 691

Step 2: Find the prime factorization of 2770

2770 = 2 x 5 x 277

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

LCM = 3828140 = 2 x 2 x 5 x 277 x 691

Step 4: Therefore, the least common multiple of 2764 and 2770 is 3828140.