Least Common Multiple of 4918 and 4926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4918 and 4926 the smallest integer that is 12113034 that is divisible by both numbers.

Least Common Multiple (LCM) of 4918 and 4926 is 12113034.

LCM(4918,4926) = 12113034

LCM of 4918 and 4926

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

LCM of:
and

Least Common Multiple of 4918 and 4926

LCM of 4918 and 4926 is 12113034

Least common multiple can be found by multiplying the highest exponent prime factors of 4918 and 4926. First we will calculate the prime factors of 4918 and 4926.

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

Prime Factorization of 4926


2 4926
3 2463
821 821
1

Prime factors of 4926 are 2, 3,821. Prime factorization of 4926 in exponential form is:

4926 = 21×31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 4918 and 4926.

LCM(4918,4926) = 21×31×8211×24591
LCM(4918,4926) = 12113034

Factors of 4918

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

1, 2, 2459, 4918

Factors of 4926

List of positive integer factors of 4926 that divides 4926 without a remainder.

1, 2, 3, 6, 821, 1642, 2463, 4926

Least Common Multiple of 4918 and 4926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4918 and 4926, than apply into the LCM equation.

GCF(4918,4926) = 2
LCM(4918,4926) = ( 4918 × 4926) / 2
LCM(4918,4926) = 24226068 / 2
LCM(4918,4926) = 12113034

Properties of LCM 4918 and 4926

(i) The LCM of 4926 and 4918 is associative

LCM of 4918 and 4926 = LCM of 4926 and 4918

Related Least Common Multiples of 4918

Related Least Common Multiples of 4926

Frequently Asked Questions on LCM of 4918 and 4926

1. What is the LCM of 4918 and 4926?

Answer: LCM of 4918 and 4926 is 12113034.

2. 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.

3. What are the Factors of 4926?

Answer: Factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926. There are 8 integers that are factors of 4926. The greatest factor of 4926 is 4926.

4. How to Find the LCM of 4918 and 4926?

Answer:

Least Common Multiple of 4918 and 4926 = 12113034

Step 1: Find the prime factorization of 4918

4918 = 2 x 2459

Step 2: Find the prime factorization of 4926

4926 = 2 x 3 x 821

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

LCM = 12113034 = 2 x 3 x 821 x 2459

Step 4: Therefore, the least common multiple of 4918 and 4926 is 12113034.