Least Common Multiple of 2918 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 2918 and 2923 the smallest integer that is 8529314 that is divisible by both numbers.

Least Common Multiple (LCM) of 2918 and 2923 is 8529314.

LCM(2918,2923) = 8529314

LCM of 2918 and 2923

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

LCM of:
and

Least Common Multiple of 2918 and 2923

LCM of 2918 and 2923 is 8529314

Least common multiple can be found by multiplying the highest exponent prime factors of 2918 and 2923. First we will calculate the prime factors of 2918 and 2923.

Prime Factorization of 2918


2 2918
1459 1459
1

Prime factors of 2918 are 2,1459. Prime factorization of 2918 in exponential form is:

2918 = 21×14591

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 2918 and 2923.

LCM(2918,2923) = 21×371×791×14591
LCM(2918,2923) = 8529314

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1, 2, 1459, 2918

Factors of 2923

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

1, 37, 79, 2923

Least Common Multiple of 2918 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 2918 and 2923, than apply into the LCM equation.

GCF(2918,2923) = 1
LCM(2918,2923) = ( 2918 × 2923) / 1
LCM(2918,2923) = 8529314 / 1
LCM(2918,2923) = 8529314

Properties of LCM 2918 and 2923

(i) The LCM of 2923 and 2918 is associative

LCM of 2918 and 2923 = LCM of 2923 and 2918

Related Least Common Multiples of 2918

Related Least Common Multiples of 2923

Frequently Asked Questions on LCM of 2918 and 2923

1. What is the LCM of 2918 and 2923?

Answer: LCM of 2918 and 2923 is 8529314.

2. What are the Factors of 2918?

Answer: Factors of 2918 are 1, 2, 1459, 2918. There are 4 integers that are factors of 2918. The greatest factor of 2918 is 2918.

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 2918 and 2923?

Answer:

Least Common Multiple of 2918 and 2923 = 8529314

Step 1: Find the prime factorization of 2918

2918 = 2 x 1459

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 = 8529314 = 2 x 37 x 79 x 1459

Step 4: Therefore, the least common multiple of 2918 and 2923 is 8529314.