Least Common Multiple of 4933 and 4936

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 4936 the smallest integer that is 24349288 that is divisible by both numbers.

Least Common Multiple (LCM) of 4933 and 4936 is 24349288.

LCM(4933,4936) = 24349288

LCM of 4933 and 4936

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

LCM of:
and

Least Common Multiple of 4933 and 4936

LCM of 4933 and 4936 is 24349288

Least common multiple can be found by multiplying the highest exponent prime factors of 4933 and 4936. First we will calculate the prime factors of 4933 and 4936.

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 4936


2 4936
2 2468
2 1234
617 617
1

Prime factors of 4936 are 2,617. Prime factorization of 4936 in exponential form is:

4936 = 23×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 4933 and 4936.

LCM(4933,4936) = 23×6171×49331
LCM(4933,4936) = 24349288

Factors of 4933

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

1, 4933

Factors of 4936

List of positive integer factors of 4936 that divides 4936 without a remainder.

1, 2, 4, 8, 617, 1234, 2468, 4936

Least Common Multiple of 4933 and 4936 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 4936, than apply into the LCM equation.

GCF(4933,4936) = 1
LCM(4933,4936) = ( 4933 × 4936) / 1
LCM(4933,4936) = 24349288 / 1
LCM(4933,4936) = 24349288

Properties of LCM 4933 and 4936

(i) The LCM of 4936 and 4933 is associative

LCM of 4933 and 4936 = LCM of 4936 and 4933

Related Least Common Multiples of 4933

Related Least Common Multiples of 4936

Frequently Asked Questions on LCM of 4933 and 4936

1. What is the LCM of 4933 and 4936?

Answer: LCM of 4933 and 4936 is 24349288.

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 4936?

Answer: Factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936. There are 8 integers that are factors of 4936. The greatest factor of 4936 is 4936.

4. How to Find the LCM of 4933 and 4936?

Answer:

Least Common Multiple of 4933 and 4936 = 24349288

Step 1: Find the prime factorization of 4933

4933 = 4933

Step 2: Find the prime factorization of 4936

4936 = 2 x 2 x 2 x 617

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

LCM = 24349288 = 2 x 2 x 2 x 617 x 4933

Step 4: Therefore, the least common multiple of 4933 and 4936 is 24349288.