Least Common Multiple of 4933 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 4933 and 4941 the smallest integer that is 24373953 that is divisible by both numbers.

Least Common Multiple (LCM) of 4933 and 4941 is 24373953.

LCM(4933,4941) = 24373953

LCM of 4933 and 4941

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

LCM of:
and

Least Common Multiple of 4933 and 4941

LCM of 4933 and 4941 is 24373953

Least common multiple can be found by multiplying the highest exponent prime factors of 4933 and 4941. First we will calculate the prime factors of 4933 and 4941.

Prime Factorization of 4933


4933 4933
1

Prime factors of 4933 are 4933. Prime factorization of 4933 in exponential form is:

4933 = 49331

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 4933 and 4941.

LCM(4933,4941) = 34×611×49331
LCM(4933,4941) = 24373953

Factors of 4933

List of positive integer factors of 4933 that divides 4933 without a remainder.

1, 4933

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 4933 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 4933 and 4941, than apply into the LCM equation.

GCF(4933,4941) = 1
LCM(4933,4941) = ( 4933 × 4941) / 1
LCM(4933,4941) = 24373953 / 1
LCM(4933,4941) = 24373953

Properties of LCM 4933 and 4941

(i) The LCM of 4941 and 4933 is associative

LCM of 4933 and 4941 = LCM of 4941 and 4933

Related Least Common Multiples of 4933

Related Least Common Multiples of 4941

Frequently Asked Questions on LCM of 4933 and 4941

1. What is the LCM of 4933 and 4941?

Answer: LCM of 4933 and 4941 is 24373953.

2. What are the Factors of 4933?

Answer: Factors of 4933 are 1, 4933. There are 2 integers that are factors of 4933. The greatest factor of 4933 is 4933.

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 4933 and 4941?

Answer:

Least Common Multiple of 4933 and 4941 = 24373953

Step 1: Find the prime factorization of 4933

4933 = 4933

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 = 24373953 = 3 x 3 x 3 x 3 x 61 x 4933

Step 4: Therefore, the least common multiple of 4933 and 4941 is 24373953.