Least Common Multiple of 4933 and 4939

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 4939 the smallest integer that is 24364087 that is divisible by both numbers.

Least Common Multiple (LCM) of 4933 and 4939 is 24364087.

LCM(4933,4939) = 24364087

LCM of 4933 and 4939

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

LCM of:
and

Least Common Multiple of 4933 and 4939

LCM of 4933 and 4939 is 24364087

Least common multiple can be found by multiplying the highest exponent prime factors of 4933 and 4939. First we will calculate the prime factors of 4933 and 4939.

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 4939


11 4939
449 449
1

Prime factors of 4939 are 11,449. Prime factorization of 4939 in exponential form is:

4939 = 111×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 4933 and 4939.

LCM(4933,4939) = 111×4491×49331
LCM(4933,4939) = 24364087

Factors of 4933

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

1, 4933

Factors of 4939

List of positive integer factors of 4939 that divides 4939 without a remainder.

1, 11, 449, 4939

Least Common Multiple of 4933 and 4939 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 4939, than apply into the LCM equation.

GCF(4933,4939) = 1
LCM(4933,4939) = ( 4933 × 4939) / 1
LCM(4933,4939) = 24364087 / 1
LCM(4933,4939) = 24364087

Properties of LCM 4933 and 4939

(i) The LCM of 4939 and 4933 is associative

LCM of 4933 and 4939 = LCM of 4939 and 4933

Related Least Common Multiples of 4933

Related Least Common Multiples of 4939

Frequently Asked Questions on LCM of 4933 and 4939

1. What is the LCM of 4933 and 4939?

Answer: LCM of 4933 and 4939 is 24364087.

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 4939?

Answer: Factors of 4939 are 1, 11, 449, 4939. There are 4 integers that are factors of 4939. The greatest factor of 4939 is 4939.

4. How to Find the LCM of 4933 and 4939?

Answer:

Least Common Multiple of 4933 and 4939 = 24364087

Step 1: Find the prime factorization of 4933

4933 = 4933

Step 2: Find the prime factorization of 4939

4939 = 11 x 449

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

LCM = 24364087 = 11 x 449 x 4933

Step 4: Therefore, the least common multiple of 4933 and 4939 is 24364087.