Least Common Multiple of 3921 and 3929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3921 and 3929 the smallest integer that is 15405609 that is divisible by both numbers.

Least Common Multiple (LCM) of 3921 and 3929 is 15405609.

LCM(3921,3929) = 15405609

LCM of 3921 and 3929

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

LCM of:
and

Least Common Multiple of 3921 and 3929

LCM of 3921 and 3929 is 15405609

Least common multiple can be found by multiplying the highest exponent prime factors of 3921 and 3929. First we will calculate the prime factors of 3921 and 3929.

Prime Factorization of 3921


3 3921
1307 1307
1

Prime factors of 3921 are 3,1307. Prime factorization of 3921 in exponential form is:

3921 = 31×13071

Prime Factorization of 3929


3929 3929
1

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

3929 = 39291

Now multiplying the highest exponent prime factors to calculate the LCM of 3921 and 3929.

LCM(3921,3929) = 31×13071×39291
LCM(3921,3929) = 15405609

Factors of 3921

List of positive integer factors of 3921 that divides 3921 without a remainder.

1, 3, 1307, 3921

Factors of 3929

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

1, 3929

Least Common Multiple of 3921 and 3929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3921 and 3929, than apply into the LCM equation.

GCF(3921,3929) = 1
LCM(3921,3929) = ( 3921 × 3929) / 1
LCM(3921,3929) = 15405609 / 1
LCM(3921,3929) = 15405609

Properties of LCM 3921 and 3929

(i) The LCM of 3929 and 3921 is associative

LCM of 3921 and 3929 = LCM of 3929 and 3921

Related Least Common Multiples of 3921

Related Least Common Multiples of 3929

Frequently Asked Questions on LCM of 3921 and 3929

1. What is the LCM of 3921 and 3929?

Answer: LCM of 3921 and 3929 is 15405609.

2. What are the Factors of 3921?

Answer: Factors of 3921 are 1, 3, 1307, 3921. There are 4 integers that are factors of 3921. The greatest factor of 3921 is 3921.

3. 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.

4. How to Find the LCM of 3921 and 3929?

Answer:

Least Common Multiple of 3921 and 3929 = 15405609

Step 1: Find the prime factorization of 3921

3921 = 3 x 1307

Step 2: Find the prime factorization of 3929

3929 = 3929

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

LCM = 15405609 = 3 x 1307 x 3929

Step 4: Therefore, the least common multiple of 3921 and 3929 is 15405609.