Least Common Multiple of 3916 and 3922

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 3922 the smallest integer that is 7679276 that is divisible by both numbers.

Least Common Multiple (LCM) of 3916 and 3922 is 7679276.

LCM(3916,3922) = 7679276

LCM of 3916 and 3922

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

LCM of:
and

Least Common Multiple of 3916 and 3922

LCM of 3916 and 3922 is 7679276

Least common multiple can be found by multiplying the highest exponent prime factors of 3916 and 3922. First we will calculate the prime factors of 3916 and 3922.

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 3922


2 3922
37 1961
53 53
1

Prime factors of 3922 are 2, 37,53. Prime factorization of 3922 in exponential form is:

3922 = 21×371×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3916 and 3922.

LCM(3916,3922) = 22×111×371×531×891
LCM(3916,3922) = 7679276

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 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1, 2, 37, 53, 74, 106, 1961, 3922

Least Common Multiple of 3916 and 3922 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 3922, than apply into the LCM equation.

GCF(3916,3922) = 2
LCM(3916,3922) = ( 3916 × 3922) / 2
LCM(3916,3922) = 15358552 / 2
LCM(3916,3922) = 7679276

Properties of LCM 3916 and 3922

(i) The LCM of 3922 and 3916 is associative

LCM of 3916 and 3922 = LCM of 3922 and 3916

Related Least Common Multiples of 3916

Related Least Common Multiples of 3922

Frequently Asked Questions on LCM of 3916 and 3922

1. What is the LCM of 3916 and 3922?

Answer: LCM of 3916 and 3922 is 7679276.

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 3922?

Answer: Factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922. There are 8 integers that are factors of 3922. The greatest factor of 3922 is 3922.

4. How to Find the LCM of 3916 and 3922?

Answer:

Least Common Multiple of 3916 and 3922 = 7679276

Step 1: Find the prime factorization of 3916

3916 = 2 x 2 x 11 x 89

Step 2: Find the prime factorization of 3922

3922 = 2 x 37 x 53

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

LCM = 7679276 = 2 x 2 x 11 x 37 x 53 x 89

Step 4: Therefore, the least common multiple of 3916 and 3922 is 7679276.