Least Common Multiple of 3917 and 3918

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 3918 the smallest integer that is 15346806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3917 and 3918 is 15346806.

LCM(3917,3918) = 15346806

LCM of 3917 and 3918

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

LCM of:
and

Least Common Multiple of 3917 and 3918

LCM of 3917 and 3918 is 15346806

Least common multiple can be found by multiplying the highest exponent prime factors of 3917 and 3918. First we will calculate the prime factors of 3917 and 3918.

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 3918


2 3918
3 1959
653 653
1

Prime factors of 3918 are 2, 3,653. Prime factorization of 3918 in exponential form is:

3918 = 21×31×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 3917 and 3918.

LCM(3917,3918) = 21×31×6531×39171
LCM(3917,3918) = 15346806

Factors of 3917

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

1, 3917

Factors of 3918

List of positive integer factors of 3918 that divides 3918 without a remainder.

1, 2, 3, 6, 653, 1306, 1959, 3918

Least Common Multiple of 3917 and 3918 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 3918, than apply into the LCM equation.

GCF(3917,3918) = 1
LCM(3917,3918) = ( 3917 × 3918) / 1
LCM(3917,3918) = 15346806 / 1
LCM(3917,3918) = 15346806

Properties of LCM 3917 and 3918

(i) The LCM of 3918 and 3917 is associative

LCM of 3917 and 3918 = LCM of 3918 and 3917

Related Least Common Multiples of 3917

Related Least Common Multiples of 3918

Frequently Asked Questions on LCM of 3917 and 3918

1. What is the LCM of 3917 and 3918?

Answer: LCM of 3917 and 3918 is 15346806.

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 3918?

Answer: Factors of 3918 are 1, 2, 3, 6, 653, 1306, 1959, 3918. There are 8 integers that are factors of 3918. The greatest factor of 3918 is 3918.

4. How to Find the LCM of 3917 and 3918?

Answer:

Least Common Multiple of 3917 and 3918 = 15346806

Step 1: Find the prime factorization of 3917

3917 = 3917

Step 2: Find the prime factorization of 3918

3918 = 2 x 3 x 653

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

LCM = 15346806 = 2 x 3 x 653 x 3917

Step 4: Therefore, the least common multiple of 3917 and 3918 is 15346806.