Least Common Multiple of 3916 and 3921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3916 and 3921 the smallest integer that is 15354636 that is divisible by both numbers.

Least Common Multiple (LCM) of 3916 and 3921 is 15354636.

LCM(3916,3921) = 15354636

LCM of 3916 and 3921

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

LCM of:
and

Least Common Multiple of 3916 and 3921

LCM of 3916 and 3921 is 15354636

Least common multiple can be found by multiplying the highest exponent prime factors of 3916 and 3921. First we will calculate the prime factors of 3916 and 3921.

Prime Factorization of 3916


2 3916
2 1958
11 979
89 89
1

Prime factors of 3916 are 2, 11,89. Prime factorization of 3916 in exponential form is:

3916 = 22×111×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3916 and 3921.

LCM(3916,3921) = 22×31×111×891×13071
LCM(3916,3921) = 15354636

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

Factors of 3921

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

1, 3, 1307, 3921

Least Common Multiple of 3916 and 3921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3916 and 3921, than apply into the LCM equation.

GCF(3916,3921) = 1
LCM(3916,3921) = ( 3916 × 3921) / 1
LCM(3916,3921) = 15354636 / 1
LCM(3916,3921) = 15354636

Properties of LCM 3916 and 3921

(i) The LCM of 3921 and 3916 is associative

LCM of 3916 and 3921 = LCM of 3921 and 3916

Related Least Common Multiples of 3916

Related Least Common Multiples of 3921

Frequently Asked Questions on LCM of 3916 and 3921

1. What is the LCM of 3916 and 3921?

Answer: LCM of 3916 and 3921 is 15354636.

2. What are the Factors of 3916?

Answer: Factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916. There are 12 integers that are factors of 3916. The greatest factor of 3916 is 3916.

3. 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.

4. How to Find the LCM of 3916 and 3921?

Answer:

Least Common Multiple of 3916 and 3921 = 15354636

Step 1: Find the prime factorization of 3916

3916 = 2 x 2 x 11 x 89

Step 2: Find the prime factorization of 3921

3921 = 3 x 1307

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

LCM = 15354636 = 2 x 2 x 3 x 11 x 89 x 1307

Step 4: Therefore, the least common multiple of 3916 and 3921 is 15354636.