Least Common Multiple of 3917 and 3923

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 3923 the smallest integer that is 15366391 that is divisible by both numbers.

Least Common Multiple (LCM) of 3917 and 3923 is 15366391.

LCM(3917,3923) = 15366391

LCM of 3917 and 3923

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

LCM of:
and

Least Common Multiple of 3917 and 3923

LCM of 3917 and 3923 is 15366391

Least common multiple can be found by multiplying the highest exponent prime factors of 3917 and 3923. First we will calculate the prime factors of 3917 and 3923.

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 3923


3923 3923
1

Prime factors of 3923 are 3923. Prime factorization of 3923 in exponential form is:

3923 = 39231

Now multiplying the highest exponent prime factors to calculate the LCM of 3917 and 3923.

LCM(3917,3923) = 39171×39231
LCM(3917,3923) = 15366391

Factors of 3917

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

1, 3917

Factors of 3923

List of positive integer factors of 3923 that divides 3923 without a remainder.

1, 3923

Least Common Multiple of 3917 and 3923 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 3923, than apply into the LCM equation.

GCF(3917,3923) = 1
LCM(3917,3923) = ( 3917 × 3923) / 1
LCM(3917,3923) = 15366391 / 1
LCM(3917,3923) = 15366391

Properties of LCM 3917 and 3923

(i) The LCM of 3923 and 3917 is associative

LCM of 3917 and 3923 = LCM of 3923 and 3917

Related Least Common Multiples of 3917

Related Least Common Multiples of 3923

Frequently Asked Questions on LCM of 3917 and 3923

1. What is the LCM of 3917 and 3923?

Answer: LCM of 3917 and 3923 is 15366391.

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 3923?

Answer: Factors of 3923 are 1, 3923. There are 2 integers that are factors of 3923. The greatest factor of 3923 is 3923.

4. How to Find the LCM of 3917 and 3923?

Answer:

Least Common Multiple of 3917 and 3923 = 15366391

Step 1: Find the prime factorization of 3917

3917 = 3917

Step 2: Find the prime factorization of 3923

3923 = 3923

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

LCM = 15366391 = 3917 x 3923

Step 4: Therefore, the least common multiple of 3917 and 3923 is 15366391.