Least Common Multiple of 4914 and 4918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4914 and 4918 the smallest integer that is 12083526 that is divisible by both numbers.

Least Common Multiple (LCM) of 4914 and 4918 is 12083526.

LCM(4914,4918) = 12083526

LCM of 4914 and 4918

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

LCM of:
and

Least Common Multiple of 4914 and 4918

LCM of 4914 and 4918 is 12083526

Least common multiple can be found by multiplying the highest exponent prime factors of 4914 and 4918. First we will calculate the prime factors of 4914 and 4918.

Prime Factorization of 4914


2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 4914 are 2, 3, 7,13. Prime factorization of 4914 in exponential form is:

4914 = 21×33×71×131

Prime Factorization of 4918


2 4918
2459 2459
1

Prime factors of 4918 are 2,2459. Prime factorization of 4918 in exponential form is:

4918 = 21×24591

Now multiplying the highest exponent prime factors to calculate the LCM of 4914 and 4918.

LCM(4914,4918) = 21×33×71×131×24591
LCM(4914,4918) = 12083526

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914

Factors of 4918

List of positive integer factors of 4918 that divides 4918 without a remainder.

1, 2, 2459, 4918

Least Common Multiple of 4914 and 4918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4914 and 4918, than apply into the LCM equation.

GCF(4914,4918) = 2
LCM(4914,4918) = ( 4914 × 4918) / 2
LCM(4914,4918) = 24167052 / 2
LCM(4914,4918) = 12083526

Properties of LCM 4914 and 4918

(i) The LCM of 4918 and 4914 is associative

LCM of 4914 and 4918 = LCM of 4918 and 4914

Related Least Common Multiples of 4914

Related Least Common Multiples of 4918

Frequently Asked Questions on LCM of 4914 and 4918

1. What is the LCM of 4914 and 4918?

Answer: LCM of 4914 and 4918 is 12083526.

2. What are the Factors of 4914?

Answer: Factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914. There are 32 integers that are factors of 4914. The greatest factor of 4914 is 4914.

3. What are the Factors of 4918?

Answer: Factors of 4918 are 1, 2, 2459, 4918. There are 4 integers that are factors of 4918. The greatest factor of 4918 is 4918.

4. How to Find the LCM of 4914 and 4918?

Answer:

Least Common Multiple of 4914 and 4918 = 12083526

Step 1: Find the prime factorization of 4914

4914 = 2 x 3 x 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 4918

4918 = 2 x 2459

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

LCM = 12083526 = 2 x 3 x 3 x 3 x 7 x 13 x 2459

Step 4: Therefore, the least common multiple of 4914 and 4918 is 12083526.