Least Common Multiple of 4930 and 4938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4930 and 4938 the smallest integer that is 12172170 that is divisible by both numbers.

Least Common Multiple (LCM) of 4930 and 4938 is 12172170.

LCM(4930,4938) = 12172170

LCM of 4930 and 4938

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

LCM of:
and

Least Common Multiple of 4930 and 4938

LCM of 4930 and 4938 is 12172170

Least common multiple can be found by multiplying the highest exponent prime factors of 4930 and 4938. First we will calculate the prime factors of 4930 and 4938.

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

Prime Factorization of 4938


2 4938
3 2469
823 823
1

Prime factors of 4938 are 2, 3,823. Prime factorization of 4938 in exponential form is:

4938 = 21×31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 4930 and 4938.

LCM(4930,4938) = 21×31×51×171×291×8231
LCM(4930,4938) = 12172170

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

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1, 2, 3, 6, 823, 1646, 2469, 4938

Least Common Multiple of 4930 and 4938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4930 and 4938, than apply into the LCM equation.

GCF(4930,4938) = 2
LCM(4930,4938) = ( 4930 × 4938) / 2
LCM(4930,4938) = 24344340 / 2
LCM(4930,4938) = 12172170

Properties of LCM 4930 and 4938

(i) The LCM of 4938 and 4930 is associative

LCM of 4930 and 4938 = LCM of 4938 and 4930

Related Least Common Multiples of 4930

Related Least Common Multiples of 4938

Frequently Asked Questions on LCM of 4930 and 4938

1. What is the LCM of 4930 and 4938?

Answer: LCM of 4930 and 4938 is 12172170.

2. 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.

3. What are the Factors of 4938?

Answer: Factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938. There are 8 integers that are factors of 4938. The greatest factor of 4938 is 4938.

4. How to Find the LCM of 4930 and 4938?

Answer:

Least Common Multiple of 4930 and 4938 = 12172170

Step 1: Find the prime factorization of 4930

4930 = 2 x 5 x 17 x 29

Step 2: Find the prime factorization of 4938

4938 = 2 x 3 x 823

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

LCM = 12172170 = 2 x 3 x 5 x 17 x 29 x 823

Step 4: Therefore, the least common multiple of 4930 and 4938 is 12172170.