Least Common Multiple of 3810 and 3818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3810 and 3818 the smallest integer that is 7273290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3810 and 3818 is 7273290.

LCM(3810,3818) = 7273290

LCM of 3810 and 3818

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

LCM of:
and

Least Common Multiple of 3810 and 3818

LCM of 3810 and 3818 is 7273290

Least common multiple can be found by multiplying the highest exponent prime factors of 3810 and 3818. First we will calculate the prime factors of 3810 and 3818.

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

Prime Factorization of 3818


2 3818
23 1909
83 83
1

Prime factors of 3818 are 2, 23,83. Prime factorization of 3818 in exponential form is:

3818 = 21×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3810 and 3818.

LCM(3810,3818) = 21×31×51×231×831×1271
LCM(3810,3818) = 7273290

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

Factors of 3818

List of positive integer factors of 3818 that divides 3818 without a remainder.

1, 2, 23, 46, 83, 166, 1909, 3818

Least Common Multiple of 3810 and 3818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3810 and 3818, than apply into the LCM equation.

GCF(3810,3818) = 2
LCM(3810,3818) = ( 3810 × 3818) / 2
LCM(3810,3818) = 14546580 / 2
LCM(3810,3818) = 7273290

Properties of LCM 3810 and 3818

(i) The LCM of 3818 and 3810 is associative

LCM of 3810 and 3818 = LCM of 3818 and 3810

Related Least Common Multiples of 3810

Related Least Common Multiples of 3818

Frequently Asked Questions on LCM of 3810 and 3818

1. What is the LCM of 3810 and 3818?

Answer: LCM of 3810 and 3818 is 7273290.

2. 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.

3. What are the Factors of 3818?

Answer: Factors of 3818 are 1, 2, 23, 46, 83, 166, 1909, 3818. There are 8 integers that are factors of 3818. The greatest factor of 3818 is 3818.

4. How to Find the LCM of 3810 and 3818?

Answer:

Least Common Multiple of 3810 and 3818 = 7273290

Step 1: Find the prime factorization of 3810

3810 = 2 x 3 x 5 x 127

Step 2: Find the prime factorization of 3818

3818 = 2 x 23 x 83

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

LCM = 7273290 = 2 x 3 x 5 x 23 x 83 x 127

Step 4: Therefore, the least common multiple of 3810 and 3818 is 7273290.