Least Common Multiple of 2923 and 2926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2923 and 2926 the smallest integer that is 8552698 that is divisible by both numbers.

Least Common Multiple (LCM) of 2923 and 2926 is 8552698.

LCM(2923,2926) = 8552698

LCM of 2923 and 2926

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

LCM of:
and

Least Common Multiple of 2923 and 2926

LCM of 2923 and 2926 is 8552698

Least common multiple can be found by multiplying the highest exponent prime factors of 2923 and 2926. First we will calculate the prime factors of 2923 and 2926.

Prime Factorization of 2923


37 2923
79 79
1

Prime factors of 2923 are 37,79. Prime factorization of 2923 in exponential form is:

2923 = 371×791

Prime Factorization of 2926


2 2926
7 1463
11 209
19 19
1

Prime factors of 2926 are 2, 7, 11,19. Prime factorization of 2926 in exponential form is:

2926 = 21×71×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2923 and 2926.

LCM(2923,2926) = 21×71×111×191×371×791
LCM(2923,2926) = 8552698

Factors of 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1, 37, 79, 2923

Factors of 2926

List of positive integer factors of 2926 that divides 2926 without a remainder.

1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926

Least Common Multiple of 2923 and 2926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2923 and 2926, than apply into the LCM equation.

GCF(2923,2926) = 1
LCM(2923,2926) = ( 2923 × 2926) / 1
LCM(2923,2926) = 8552698 / 1
LCM(2923,2926) = 8552698

Properties of LCM 2923 and 2926

(i) The LCM of 2926 and 2923 is associative

LCM of 2923 and 2926 = LCM of 2926 and 2923

Related Least Common Multiples of 2923

Related Least Common Multiples of 2926

Frequently Asked Questions on LCM of 2923 and 2926

1. What is the LCM of 2923 and 2926?

Answer: LCM of 2923 and 2926 is 8552698.

2. What are the Factors of 2923?

Answer: Factors of 2923 are 1, 37, 79, 2923. There are 4 integers that are factors of 2923. The greatest factor of 2923 is 2923.

3. What are the Factors of 2926?

Answer: Factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926. There are 16 integers that are factors of 2926. The greatest factor of 2926 is 2926.

4. How to Find the LCM of 2923 and 2926?

Answer:

Least Common Multiple of 2923 and 2926 = 8552698

Step 1: Find the prime factorization of 2923

2923 = 37 x 79

Step 2: Find the prime factorization of 2926

2926 = 2 x 7 x 11 x 19

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

LCM = 8552698 = 2 x 7 x 11 x 19 x 37 x 79

Step 4: Therefore, the least common multiple of 2923 and 2926 is 8552698.