Least Common Multiple of 3918 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 3918 and 3923 the smallest integer that is 15370314 that is divisible by both numbers.

Least Common Multiple (LCM) of 3918 and 3923 is 15370314.

LCM(3918,3923) = 15370314

LCM of 3918 and 3923

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

LCM of:
and

Least Common Multiple of 3918 and 3923

LCM of 3918 and 3923 is 15370314

Least common multiple can be found by multiplying the highest exponent prime factors of 3918 and 3923. First we will calculate the prime factors of 3918 and 3923.

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

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 3918 and 3923.

LCM(3918,3923) = 21×31×6531×39231
LCM(3918,3923) = 15370314

Factors of 3918

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

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

Factors of 3923

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

1, 3923

Least Common Multiple of 3918 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 3918 and 3923, than apply into the LCM equation.

GCF(3918,3923) = 1
LCM(3918,3923) = ( 3918 × 3923) / 1
LCM(3918,3923) = 15370314 / 1
LCM(3918,3923) = 15370314

Properties of LCM 3918 and 3923

(i) The LCM of 3923 and 3918 is associative

LCM of 3918 and 3923 = LCM of 3923 and 3918

Related Least Common Multiples of 3918

Related Least Common Multiples of 3923

Frequently Asked Questions on LCM of 3918 and 3923

1. What is the LCM of 3918 and 3923?

Answer: LCM of 3918 and 3923 is 15370314.

2. 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.

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 3918 and 3923?

Answer:

Least Common Multiple of 3918 and 3923 = 15370314

Step 1: Find the prime factorization of 3918

3918 = 2 x 3 x 653

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 = 15370314 = 2 x 3 x 653 x 3923

Step 4: Therefore, the least common multiple of 3918 and 3923 is 15370314.