Least Common Multiple of 3806 and 3810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3806 and 3810 the smallest integer that is 7250430 that is divisible by both numbers.

Least Common Multiple (LCM) of 3806 and 3810 is 7250430.

LCM(3806,3810) = 7250430

LCM of 3806 and 3810

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

LCM of:
and

Least Common Multiple of 3806 and 3810

LCM of 3806 and 3810 is 7250430

Least common multiple can be found by multiplying the highest exponent prime factors of 3806 and 3810. First we will calculate the prime factors of 3806 and 3810.

Prime Factorization of 3806


2 3806
11 1903
173 173
1

Prime factors of 3806 are 2, 11,173. Prime factorization of 3806 in exponential form is:

3806 = 21×111×1731

Prime Factorization of 3810


2 3810
3 1905
5 635
127 127
1

Prime factors of 3810 are 2, 3, 5,127. Prime factorization of 3810 in exponential form is:

3810 = 21×31×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3806 and 3810.

LCM(3806,3810) = 21×31×51×111×1271×1731
LCM(3806,3810) = 7250430

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1, 2, 11, 22, 173, 346, 1903, 3806

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810

Least Common Multiple of 3806 and 3810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3806 and 3810, than apply into the LCM equation.

GCF(3806,3810) = 2
LCM(3806,3810) = ( 3806 × 3810) / 2
LCM(3806,3810) = 14500860 / 2
LCM(3806,3810) = 7250430

Properties of LCM 3806 and 3810

(i) The LCM of 3810 and 3806 is associative

LCM of 3806 and 3810 = LCM of 3810 and 3806

Related Least Common Multiples of 3806

Related Least Common Multiples of 3810

Frequently Asked Questions on LCM of 3806 and 3810

1. What is the LCM of 3806 and 3810?

Answer: LCM of 3806 and 3810 is 7250430.

2. What are the Factors of 3806?

Answer: Factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806. There are 8 integers that are factors of 3806. The greatest factor of 3806 is 3806.

3. What are the Factors of 3810?

Answer: Factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810. There are 16 integers that are factors of 3810. The greatest factor of 3810 is 3810.

4. How to Find the LCM of 3806 and 3810?

Answer:

Least Common Multiple of 3806 and 3810 = 7250430

Step 1: Find the prime factorization of 3806

3806 = 2 x 11 x 173

Step 2: Find the prime factorization of 3810

3810 = 2 x 3 x 5 x 127

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

LCM = 7250430 = 2 x 3 x 5 x 11 x 127 x 173

Step 4: Therefore, the least common multiple of 3806 and 3810 is 7250430.