Least Common Multiple of 3906 and 3910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3906 and 3910 the smallest integer that is 7636230 that is divisible by both numbers.

Least Common Multiple (LCM) of 3906 and 3910 is 7636230.

LCM(3906,3910) = 7636230

LCM of 3906 and 3910

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

LCM of:
and

Least Common Multiple of 3906 and 3910

LCM of 3906 and 3910 is 7636230

Least common multiple can be found by multiplying the highest exponent prime factors of 3906 and 3910. First we will calculate the prime factors of 3906 and 3910.

Prime Factorization of 3906


2 3906
3 1953
3 651
7 217
31 31
1

Prime factors of 3906 are 2, 3, 7,31. Prime factorization of 3906 in exponential form is:

3906 = 21×32×71×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3906 and 3910.

LCM(3906,3910) = 21×32×51×71×171×231×311
LCM(3906,3910) = 7636230

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906

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

Least Common Multiple of 3906 and 3910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3906 and 3910, than apply into the LCM equation.

GCF(3906,3910) = 2
LCM(3906,3910) = ( 3906 × 3910) / 2
LCM(3906,3910) = 15272460 / 2
LCM(3906,3910) = 7636230

Properties of LCM 3906 and 3910

(i) The LCM of 3910 and 3906 is associative

LCM of 3906 and 3910 = LCM of 3910 and 3906

Related Least Common Multiples of 3906

Related Least Common Multiples of 3910

Frequently Asked Questions on LCM of 3906 and 3910

1. What is the LCM of 3906 and 3910?

Answer: LCM of 3906 and 3910 is 7636230.

2. What are the Factors of 3906?

Answer: Factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906. There are 24 integers that are factors of 3906. The greatest factor of 3906 is 3906.

3. 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.

4. How to Find the LCM of 3906 and 3910?

Answer:

Least Common Multiple of 3906 and 3910 = 7636230

Step 1: Find the prime factorization of 3906

3906 = 2 x 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 3910

3910 = 2 x 5 x 17 x 23

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

LCM = 7636230 = 2 x 3 x 3 x 5 x 7 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 3906 and 3910 is 7636230.