Least Common Multiple of 4934 and 4941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4934 and 4941 the smallest integer that is 24378894 that is divisible by both numbers.

Least Common Multiple (LCM) of 4934 and 4941 is 24378894.

LCM(4934,4941) = 24378894

LCM of 4934 and 4941

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

LCM of:
and

Least Common Multiple of 4934 and 4941

LCM of 4934 and 4941 is 24378894

Least common multiple can be found by multiplying the highest exponent prime factors of 4934 and 4941. First we will calculate the prime factors of 4934 and 4941.

Prime Factorization of 4934


2 4934
2467 2467
1

Prime factors of 4934 are 2,2467. Prime factorization of 4934 in exponential form is:

4934 = 21×24671

Prime Factorization of 4941


3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 4941 are 3,61. Prime factorization of 4941 in exponential form is:

4941 = 34×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4934 and 4941.

LCM(4934,4941) = 21×34×611×24671
LCM(4934,4941) = 24378894

Factors of 4934

List of positive integer factors of 4934 that divides 4934 without a remainder.

1, 2, 2467, 4934

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941

Least Common Multiple of 4934 and 4941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4934 and 4941, than apply into the LCM equation.

GCF(4934,4941) = 1
LCM(4934,4941) = ( 4934 × 4941) / 1
LCM(4934,4941) = 24378894 / 1
LCM(4934,4941) = 24378894

Properties of LCM 4934 and 4941

(i) The LCM of 4941 and 4934 is associative

LCM of 4934 and 4941 = LCM of 4941 and 4934

Related Least Common Multiples of 4934

Related Least Common Multiples of 4941

Frequently Asked Questions on LCM of 4934 and 4941

1. What is the LCM of 4934 and 4941?

Answer: LCM of 4934 and 4941 is 24378894.

2. What are the Factors of 4934?

Answer: Factors of 4934 are 1, 2, 2467, 4934. There are 4 integers that are factors of 4934. The greatest factor of 4934 is 4934.

3. What are the Factors of 4941?

Answer: Factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941. There are 10 integers that are factors of 4941. The greatest factor of 4941 is 4941.

4. How to Find the LCM of 4934 and 4941?

Answer:

Least Common Multiple of 4934 and 4941 = 24378894

Step 1: Find the prime factorization of 4934

4934 = 2 x 2467

Step 2: Find the prime factorization of 4941

4941 = 3 x 3 x 3 x 3 x 61

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

LCM = 24378894 = 2 x 3 x 3 x 3 x 3 x 61 x 2467

Step 4: Therefore, the least common multiple of 4934 and 4941 is 24378894.