Least Common Multiple of 3929 and 3933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3929 and 3933 the smallest integer that is 15452757 that is divisible by both numbers.

Least Common Multiple (LCM) of 3929 and 3933 is 15452757.

LCM(3929,3933) = 15452757

LCM of 3929 and 3933

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

LCM of:
and

Least Common Multiple of 3929 and 3933

LCM of 3929 and 3933 is 15452757

Least common multiple can be found by multiplying the highest exponent prime factors of 3929 and 3933. First we will calculate the prime factors of 3929 and 3933.

Prime Factorization of 3929


3929 3929
1

Prime factors of 3929 are 3929. Prime factorization of 3929 in exponential form is:

3929 = 39291

Prime Factorization of 3933


3 3933
3 1311
19 437
23 23
1

Prime factors of 3933 are 3, 19,23. Prime factorization of 3933 in exponential form is:

3933 = 32×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3929 and 3933.

LCM(3929,3933) = 32×191×231×39291
LCM(3929,3933) = 15452757

Factors of 3929

List of positive integer factors of 3929 that divides 3929 without a remainder.

1, 3929

Factors of 3933

List of positive integer factors of 3933 that divides 3933 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933

Least Common Multiple of 3929 and 3933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3929 and 3933, than apply into the LCM equation.

GCF(3929,3933) = 1
LCM(3929,3933) = ( 3929 × 3933) / 1
LCM(3929,3933) = 15452757 / 1
LCM(3929,3933) = 15452757

Properties of LCM 3929 and 3933

(i) The LCM of 3933 and 3929 is associative

LCM of 3929 and 3933 = LCM of 3933 and 3929

Related Least Common Multiples of 3929

Related Least Common Multiples of 3933

Frequently Asked Questions on LCM of 3929 and 3933

1. What is the LCM of 3929 and 3933?

Answer: LCM of 3929 and 3933 is 15452757.

2. What are the Factors of 3929?

Answer: Factors of 3929 are 1, 3929. There are 2 integers that are factors of 3929. The greatest factor of 3929 is 3929.

3. What are the Factors of 3933?

Answer: Factors of 3933 are 1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933. There are 12 integers that are factors of 3933. The greatest factor of 3933 is 3933.

4. How to Find the LCM of 3929 and 3933?

Answer:

Least Common Multiple of 3929 and 3933 = 15452757

Step 1: Find the prime factorization of 3929

3929 = 3929

Step 2: Find the prime factorization of 3933

3933 = 3 x 3 x 19 x 23

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

LCM = 15452757 = 3 x 3 x 19 x 23 x 3929

Step 4: Therefore, the least common multiple of 3929 and 3933 is 15452757.