Least Common Multiple of 3910 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 3910 and 3918 the smallest integer that is 7659690 that is divisible by both numbers.

Least Common Multiple (LCM) of 3910 and 3918 is 7659690.

LCM(3910,3918) = 7659690

LCM of 3910 and 3918

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

LCM of:
and

Least Common Multiple of 3910 and 3918

LCM of 3910 and 3918 is 7659690

Least common multiple can be found by multiplying the highest exponent prime factors of 3910 and 3918. First we will calculate the prime factors of 3910 and 3918.

Prime Factorization of 3910


2 3910
5 1955
17 391
23 23
1

Prime factors of 3910 are 2, 5, 17,23. Prime factorization of 3910 in exponential form is:

3910 = 21×51×171×231

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 3910 and 3918.

LCM(3910,3918) = 21×31×51×171×231×6531
LCM(3910,3918) = 7659690

Factors of 3910

List of positive integer factors of 3910 that divides 3910 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910

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 3910 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 3910 and 3918, than apply into the LCM equation.

GCF(3910,3918) = 2
LCM(3910,3918) = ( 3910 × 3918) / 2
LCM(3910,3918) = 15319380 / 2
LCM(3910,3918) = 7659690

Properties of LCM 3910 and 3918

(i) The LCM of 3918 and 3910 is associative

LCM of 3910 and 3918 = LCM of 3918 and 3910

Related Least Common Multiples of 3910

Related Least Common Multiples of 3918

Frequently Asked Questions on LCM of 3910 and 3918

1. What is the LCM of 3910 and 3918?

Answer: LCM of 3910 and 3918 is 7659690.

2. What are the Factors of 3910?

Answer: Factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910. There are 16 integers that are factors of 3910. The greatest factor of 3910 is 3910.

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 3910 and 3918?

Answer:

Least Common Multiple of 3910 and 3918 = 7659690

Step 1: Find the prime factorization of 3910

3910 = 2 x 5 x 17 x 23

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 = 7659690 = 2 x 3 x 5 x 17 x 23 x 653

Step 4: Therefore, the least common multiple of 3910 and 3918 is 7659690.