Least Common Multiple of 2764 and 2766

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 2766 the smallest integer that is 3822612 that is divisible by both numbers.

Least Common Multiple (LCM) of 2764 and 2766 is 3822612.

LCM(2764,2766) = 3822612

LCM of 2764 and 2766

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

LCM of:
and

Least Common Multiple of 2764 and 2766

LCM of 2764 and 2766 is 3822612

Least common multiple can be found by multiplying the highest exponent prime factors of 2764 and 2766. First we will calculate the prime factors of 2764 and 2766.

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 2766


2 2766
3 1383
461 461
1

Prime factors of 2766 are 2, 3,461. Prime factorization of 2766 in exponential form is:

2766 = 21×31×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 2764 and 2766.

LCM(2764,2766) = 22×31×4611×6911
LCM(2764,2766) = 3822612

Factors of 2764

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

1, 2, 4, 691, 1382, 2764

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1, 2, 3, 6, 461, 922, 1383, 2766

Least Common Multiple of 2764 and 2766 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 2766, than apply into the LCM equation.

GCF(2764,2766) = 2
LCM(2764,2766) = ( 2764 × 2766) / 2
LCM(2764,2766) = 7645224 / 2
LCM(2764,2766) = 3822612

Properties of LCM 2764 and 2766

(i) The LCM of 2766 and 2764 is associative

LCM of 2764 and 2766 = LCM of 2766 and 2764

Related Least Common Multiples of 2764

Related Least Common Multiples of 2766

Frequently Asked Questions on LCM of 2764 and 2766

1. What is the LCM of 2764 and 2766?

Answer: LCM of 2764 and 2766 is 3822612.

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 2766?

Answer: Factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766. There are 8 integers that are factors of 2766. The greatest factor of 2766 is 2766.

4. How to Find the LCM of 2764 and 2766?

Answer:

Least Common Multiple of 2764 and 2766 = 3822612

Step 1: Find the prime factorization of 2764

2764 = 2 x 2 x 691

Step 2: Find the prime factorization of 2766

2766 = 2 x 3 x 461

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

LCM = 3822612 = 2 x 2 x 3 x 461 x 691

Step 4: Therefore, the least common multiple of 2764 and 2766 is 3822612.