Least Common Multiple of 3813 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 3813 and 3818 the smallest integer that is 14558034 that is divisible by both numbers.

Least Common Multiple (LCM) of 3813 and 3818 is 14558034.

LCM(3813,3818) = 14558034

LCM of 3813 and 3818

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

LCM of:
and

Least Common Multiple of 3813 and 3818

LCM of 3813 and 3818 is 14558034

Least common multiple can be found by multiplying the highest exponent prime factors of 3813 and 3818. First we will calculate the prime factors of 3813 and 3818.

Prime Factorization of 3813


3 3813
31 1271
41 41
1

Prime factors of 3813 are 3, 31,41. Prime factorization of 3813 in exponential form is:

3813 = 31×311×411

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 3813 and 3818.

LCM(3813,3818) = 21×31×231×311×411×831
LCM(3813,3818) = 14558034

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1, 3, 31, 41, 93, 123, 1271, 3813

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 3813 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 3813 and 3818, than apply into the LCM equation.

GCF(3813,3818) = 1
LCM(3813,3818) = ( 3813 × 3818) / 1
LCM(3813,3818) = 14558034 / 1
LCM(3813,3818) = 14558034

Properties of LCM 3813 and 3818

(i) The LCM of 3818 and 3813 is associative

LCM of 3813 and 3818 = LCM of 3818 and 3813

Related Least Common Multiples of 3813

Related Least Common Multiples of 3818

Frequently Asked Questions on LCM of 3813 and 3818

1. What is the LCM of 3813 and 3818?

Answer: LCM of 3813 and 3818 is 14558034.

2. What are the Factors of 3813?

Answer: Factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813. There are 8 integers that are factors of 3813. The greatest factor of 3813 is 3813.

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 3813 and 3818?

Answer:

Least Common Multiple of 3813 and 3818 = 14558034

Step 1: Find the prime factorization of 3813

3813 = 3 x 31 x 41

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 = 14558034 = 2 x 3 x 23 x 31 x 41 x 83

Step 4: Therefore, the least common multiple of 3813 and 3818 is 14558034.