Least Common Multiple of 4926 and 4930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4926 and 4930 the smallest integer that is 12142590 that is divisible by both numbers.

Least Common Multiple (LCM) of 4926 and 4930 is 12142590.

LCM(4926,4930) = 12142590

LCM of 4926 and 4930

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

LCM of:
and

Least Common Multiple of 4926 and 4930

LCM of 4926 and 4930 is 12142590

Least common multiple can be found by multiplying the highest exponent prime factors of 4926 and 4930. First we will calculate the prime factors of 4926 and 4930.

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

Prime Factorization of 4930


2 4930
5 2465
17 493
29 29
1

Prime factors of 4930 are 2, 5, 17,29. Prime factorization of 4930 in exponential form is:

4930 = 21×51×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4926 and 4930.

LCM(4926,4930) = 21×31×51×171×291×8211
LCM(4926,4930) = 12142590

Factors of 4926

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

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

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930

Least Common Multiple of 4926 and 4930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4926 and 4930, than apply into the LCM equation.

GCF(4926,4930) = 2
LCM(4926,4930) = ( 4926 × 4930) / 2
LCM(4926,4930) = 24285180 / 2
LCM(4926,4930) = 12142590

Properties of LCM 4926 and 4930

(i) The LCM of 4930 and 4926 is associative

LCM of 4926 and 4930 = LCM of 4930 and 4926

Related Least Common Multiples of 4926

Related Least Common Multiples of 4930

Frequently Asked Questions on LCM of 4926 and 4930

1. What is the LCM of 4926 and 4930?

Answer: LCM of 4926 and 4930 is 12142590.

2. 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.

3. What are the Factors of 4930?

Answer: Factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930. There are 16 integers that are factors of 4930. The greatest factor of 4930 is 4930.

4. How to Find the LCM of 4926 and 4930?

Answer:

Least Common Multiple of 4926 and 4930 = 12142590

Step 1: Find the prime factorization of 4926

4926 = 2 x 3 x 821

Step 2: Find the prime factorization of 4930

4930 = 2 x 5 x 17 x 29

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

LCM = 12142590 = 2 x 3 x 5 x 17 x 29 x 821

Step 4: Therefore, the least common multiple of 4926 and 4930 is 12142590.