Least Common Multiple of 2912 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 2912 and 2918 the smallest integer that is 4248608 that is divisible by both numbers.

Least Common Multiple (LCM) of 2912 and 2918 is 4248608.

LCM(2912,2918) = 4248608

LCM of 2912 and 2918

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

LCM of:
and

Least Common Multiple of 2912 and 2918

LCM of 2912 and 2918 is 4248608

Least common multiple can be found by multiplying the highest exponent prime factors of 2912 and 2918. First we will calculate the prime factors of 2912 and 2918.

Prime Factorization of 2912


2 2912
2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 2912 are 2, 7,13. Prime factorization of 2912 in exponential form is:

2912 = 25×71×131

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 2912 and 2918.

LCM(2912,2918) = 25×71×131×14591
LCM(2912,2918) = 4248608

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

Factors of 2918

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

1, 2, 1459, 2918

Least Common Multiple of 2912 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 2912 and 2918, than apply into the LCM equation.

GCF(2912,2918) = 2
LCM(2912,2918) = ( 2912 × 2918) / 2
LCM(2912,2918) = 8497216 / 2
LCM(2912,2918) = 4248608

Properties of LCM 2912 and 2918

(i) The LCM of 2918 and 2912 is associative

LCM of 2912 and 2918 = LCM of 2918 and 2912

Related Least Common Multiples of 2912

Related Least Common Multiples of 2918

Frequently Asked Questions on LCM of 2912 and 2918

1. What is the LCM of 2912 and 2918?

Answer: LCM of 2912 and 2918 is 4248608.

2. What are the Factors of 2912?

Answer: Factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912. There are 24 integers that are factors of 2912. The greatest factor of 2912 is 2912.

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 2912 and 2918?

Answer:

Least Common Multiple of 2912 and 2918 = 4248608

Step 1: Find the prime factorization of 2912

2912 = 2 x 2 x 2 x 2 x 2 x 7 x 13

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 = 4248608 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 1459

Step 4: Therefore, the least common multiple of 2912 and 2918 is 4248608.