Least Common Multiple of 3916 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 3916 and 3923 the smallest integer that is 15362468 that is divisible by both numbers.

Least Common Multiple (LCM) of 3916 and 3923 is 15362468.

LCM(3916,3923) = 15362468

LCM of 3916 and 3923

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

LCM of:
and

Least Common Multiple of 3916 and 3923

LCM of 3916 and 3923 is 15362468

Least common multiple can be found by multiplying the highest exponent prime factors of 3916 and 3923. First we will calculate the prime factors of 3916 and 3923.

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 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 3916 and 3923.

LCM(3916,3923) = 22×111×891×39231
LCM(3916,3923) = 15362468

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 3923

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

1, 3923

Least Common Multiple of 3916 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 3916 and 3923, than apply into the LCM equation.

GCF(3916,3923) = 1
LCM(3916,3923) = ( 3916 × 3923) / 1
LCM(3916,3923) = 15362468 / 1
LCM(3916,3923) = 15362468

Properties of LCM 3916 and 3923

(i) The LCM of 3923 and 3916 is associative

LCM of 3916 and 3923 = LCM of 3923 and 3916

Related Least Common Multiples of 3916

Related Least Common Multiples of 3923

Frequently Asked Questions on LCM of 3916 and 3923

1. What is the LCM of 3916 and 3923?

Answer: LCM of 3916 and 3923 is 15362468.

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 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 3916 and 3923?

Answer:

Least Common Multiple of 3916 and 3923 = 15362468

Step 1: Find the prime factorization of 3916

3916 = 2 x 2 x 11 x 89

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 = 15362468 = 2 x 2 x 11 x 89 x 3923

Step 4: Therefore, the least common multiple of 3916 and 3923 is 15362468.