Least Common Multiple of 3818 and 3821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3818 and 3821 the smallest integer that is 14588578 that is divisible by both numbers.

Least Common Multiple (LCM) of 3818 and 3821 is 14588578.

LCM(3818,3821) = 14588578

LCM of 3818 and 3821

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

LCM of:
and

Least Common Multiple of 3818 and 3821

LCM of 3818 and 3821 is 14588578

Least common multiple can be found by multiplying the highest exponent prime factors of 3818 and 3821. First we will calculate the prime factors of 3818 and 3821.

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

Prime Factorization of 3821


3821 3821
1

Prime factors of 3821 are 3821. Prime factorization of 3821 in exponential form is:

3821 = 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 3818 and 3821.

LCM(3818,3821) = 21×231×831×38211
LCM(3818,3821) = 14588578

Factors of 3818

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

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

Factors of 3821

List of positive integer factors of 3821 that divides 3821 without a remainder.

1, 3821

Least Common Multiple of 3818 and 3821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3818 and 3821, than apply into the LCM equation.

GCF(3818,3821) = 1
LCM(3818,3821) = ( 3818 × 3821) / 1
LCM(3818,3821) = 14588578 / 1
LCM(3818,3821) = 14588578

Properties of LCM 3818 and 3821

(i) The LCM of 3821 and 3818 is associative

LCM of 3818 and 3821 = LCM of 3821 and 3818

Related Least Common Multiples of 3818

Related Least Common Multiples of 3821

Frequently Asked Questions on LCM of 3818 and 3821

1. What is the LCM of 3818 and 3821?

Answer: LCM of 3818 and 3821 is 14588578.

2. 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.

3. What are the Factors of 3821?

Answer: Factors of 3821 are 1, 3821. There are 2 integers that are factors of 3821. The greatest factor of 3821 is 3821.

4. How to Find the LCM of 3818 and 3821?

Answer:

Least Common Multiple of 3818 and 3821 = 14588578

Step 1: Find the prime factorization of 3818

3818 = 2 x 23 x 83

Step 2: Find the prime factorization of 3821

3821 = 3821

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

LCM = 14588578 = 2 x 23 x 83 x 3821

Step 4: Therefore, the least common multiple of 3818 and 3821 is 14588578.