Least Common Multiple of 2914 and 2918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2914 and 2918 the smallest integer that is 4251526 that is divisible by both numbers.

Least Common Multiple (LCM) of 2914 and 2918 is 4251526.

LCM(2914,2918) = 4251526

LCM of 2914 and 2918

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

LCM of:
and

Least Common Multiple of 2914 and 2918

LCM of 2914 and 2918 is 4251526

Least common multiple can be found by multiplying the highest exponent prime factors of 2914 and 2918. First we will calculate the prime factors of 2914 and 2918.

Prime Factorization of 2914


2 2914
31 1457
47 47
1

Prime factors of 2914 are 2, 31,47. Prime factorization of 2914 in exponential form is:

2914 = 21×311×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2914 and 2918.

LCM(2914,2918) = 21×311×471×14591
LCM(2914,2918) = 4251526

Factors of 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1, 2, 31, 47, 62, 94, 1457, 2914

Factors of 2918

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

1, 2, 1459, 2918

Least Common Multiple of 2914 and 2918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2914 and 2918, than apply into the LCM equation.

GCF(2914,2918) = 2
LCM(2914,2918) = ( 2914 × 2918) / 2
LCM(2914,2918) = 8503052 / 2
LCM(2914,2918) = 4251526

Properties of LCM 2914 and 2918

(i) The LCM of 2918 and 2914 is associative

LCM of 2914 and 2918 = LCM of 2918 and 2914

Related Least Common Multiples of 2914

Related Least Common Multiples of 2918

Frequently Asked Questions on LCM of 2914 and 2918

1. What is the LCM of 2914 and 2918?

Answer: LCM of 2914 and 2918 is 4251526.

2. What are the Factors of 2914?

Answer: Factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914. There are 8 integers that are factors of 2914. The greatest factor of 2914 is 2914.

3. 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.

4. How to Find the LCM of 2914 and 2918?

Answer:

Least Common Multiple of 2914 and 2918 = 4251526

Step 1: Find the prime factorization of 2914

2914 = 2 x 31 x 47

Step 2: Find the prime factorization of 2918

2918 = 2 x 1459

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

LCM = 4251526 = 2 x 31 x 47 x 1459

Step 4: Therefore, the least common multiple of 2914 and 2918 is 4251526.