Least Common Multiple of 4929 and 4933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4929 and 4933 the smallest integer that is 24314757 that is divisible by both numbers.

Least Common Multiple (LCM) of 4929 and 4933 is 24314757.

LCM(4929,4933) = 24314757

LCM of 4929 and 4933

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

LCM of:
and

Least Common Multiple of 4929 and 4933

LCM of 4929 and 4933 is 24314757

Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4933. First we will calculate the prime factors of 4929 and 4933.

Prime Factorization of 4929


3 4929
31 1643
53 53
1

Prime factors of 4929 are 3, 31,53. Prime factorization of 4929 in exponential form is:

4929 = 31×311×531

Prime Factorization of 4933


4933 4933
1

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

4933 = 49331

Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4933.

LCM(4929,4933) = 31×311×531×49331
LCM(4929,4933) = 24314757

Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1, 3, 31, 53, 93, 159, 1643, 4929

Factors of 4933

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

1, 4933

Least Common Multiple of 4929 and 4933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4929 and 4933, than apply into the LCM equation.

GCF(4929,4933) = 1
LCM(4929,4933) = ( 4929 × 4933) / 1
LCM(4929,4933) = 24314757 / 1
LCM(4929,4933) = 24314757

Properties of LCM 4929 and 4933

(i) The LCM of 4933 and 4929 is associative

LCM of 4929 and 4933 = LCM of 4933 and 4929

Related Least Common Multiples of 4929

Related Least Common Multiples of 4933

Frequently Asked Questions on LCM of 4929 and 4933

1. What is the LCM of 4929 and 4933?

Answer: LCM of 4929 and 4933 is 24314757.

2. What are the Factors of 4929?

Answer: Factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929. There are 8 integers that are factors of 4929. The greatest factor of 4929 is 4929.

3. 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.

4. How to Find the LCM of 4929 and 4933?

Answer:

Least Common Multiple of 4929 and 4933 = 24314757

Step 1: Find the prime factorization of 4929

4929 = 3 x 31 x 53

Step 2: Find the prime factorization of 4933

4933 = 4933

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

LCM = 24314757 = 3 x 31 x 53 x 4933

Step 4: Therefore, the least common multiple of 4929 and 4933 is 24314757.