Least Common Multiple of 2916 and 2923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2916 and 2923 the smallest integer that is 8523468 that is divisible by both numbers.

Least Common Multiple (LCM) of 2916 and 2923 is 8523468.

LCM(2916,2923) = 8523468

LCM of 2916 and 2923

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

LCM of:
and

Least Common Multiple of 2916 and 2923

LCM of 2916 and 2923 is 8523468

Least common multiple can be found by multiplying the highest exponent prime factors of 2916 and 2923. First we will calculate the prime factors of 2916 and 2923.

Prime Factorization of 2916


2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2916 are 2,3. Prime factorization of 2916 in exponential form is:

2916 = 22×36

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2916 and 2923.

LCM(2916,2923) = 22×36×371×791
LCM(2916,2923) = 8523468

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916

Factors of 2923

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

1, 37, 79, 2923

Least Common Multiple of 2916 and 2923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2916 and 2923, than apply into the LCM equation.

GCF(2916,2923) = 1
LCM(2916,2923) = ( 2916 × 2923) / 1
LCM(2916,2923) = 8523468 / 1
LCM(2916,2923) = 8523468

Properties of LCM 2916 and 2923

(i) The LCM of 2923 and 2916 is associative

LCM of 2916 and 2923 = LCM of 2923 and 2916

Related Least Common Multiples of 2916

Related Least Common Multiples of 2923

Frequently Asked Questions on LCM of 2916 and 2923

1. What is the LCM of 2916 and 2923?

Answer: LCM of 2916 and 2923 is 8523468.

2. What are the Factors of 2916?

Answer: Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916. There are 21 integers that are factors of 2916. The greatest factor of 2916 is 2916.

3. 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.

4. How to Find the LCM of 2916 and 2923?

Answer:

Least Common Multiple of 2916 and 2923 = 8523468

Step 1: Find the prime factorization of 2916

2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 2923

2923 = 37 x 79

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

LCM = 8523468 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 37 x 79

Step 4: Therefore, the least common multiple of 2916 and 2923 is 8523468.