Least Common Multiple of 3917 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 3917 and 3922 the smallest integer that is 15362474 that is divisible by both numbers.

Least Common Multiple (LCM) of 3917 and 3922 is 15362474.

LCM(3917,3922) = 15362474

LCM of 3917 and 3922

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

LCM of:
and

Least Common Multiple of 3917 and 3922

LCM of 3917 and 3922 is 15362474

Least common multiple can be found by multiplying the highest exponent prime factors of 3917 and 3922. First we will calculate the prime factors of 3917 and 3922.

Prime Factorization of 3917


3917 3917
1

Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:

3917 = 39171

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 3917 and 3922.

LCM(3917,3922) = 21×371×531×39171
LCM(3917,3922) = 15362474

Factors of 3917

List of positive integer factors of 3917 that divides 3917 without a remainder.

1, 3917

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 3917 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 3917 and 3922, than apply into the LCM equation.

GCF(3917,3922) = 1
LCM(3917,3922) = ( 3917 × 3922) / 1
LCM(3917,3922) = 15362474 / 1
LCM(3917,3922) = 15362474

Properties of LCM 3917 and 3922

(i) The LCM of 3922 and 3917 is associative

LCM of 3917 and 3922 = LCM of 3922 and 3917

Related Least Common Multiples of 3917

Related Least Common Multiples of 3922

Frequently Asked Questions on LCM of 3917 and 3922

1. What is the LCM of 3917 and 3922?

Answer: LCM of 3917 and 3922 is 15362474.

2. What are the Factors of 3917?

Answer: Factors of 3917 are 1, 3917. There are 2 integers that are factors of 3917. The greatest factor of 3917 is 3917.

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 3917 and 3922?

Answer:

Least Common Multiple of 3917 and 3922 = 15362474

Step 1: Find the prime factorization of 3917

3917 = 3917

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 = 15362474 = 2 x 37 x 53 x 3917

Step 4: Therefore, the least common multiple of 3917 and 3922 is 15362474.