Least Common Multiple of 3816 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 3816 and 3818 the smallest integer that is 7284744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3816 and 3818 is 7284744.

LCM(3816,3818) = 7284744

LCM of 3816 and 3818

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

LCM of:
and

Least Common Multiple of 3816 and 3818

LCM of 3816 and 3818 is 7284744

Least common multiple can be found by multiplying the highest exponent prime factors of 3816 and 3818. First we will calculate the prime factors of 3816 and 3818.

Prime Factorization of 3816


2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 3816 are 2, 3,53. Prime factorization of 3816 in exponential form is:

3816 = 23×32×531

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 3816 and 3818.

LCM(3816,3818) = 23×32×231×531×831
LCM(3816,3818) = 7284744

Factors of 3816

List of positive integer factors of 3816 that divides 3816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816

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 3816 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 3816 and 3818, than apply into the LCM equation.

GCF(3816,3818) = 2
LCM(3816,3818) = ( 3816 × 3818) / 2
LCM(3816,3818) = 14569488 / 2
LCM(3816,3818) = 7284744

Properties of LCM 3816 and 3818

(i) The LCM of 3818 and 3816 is associative

LCM of 3816 and 3818 = LCM of 3818 and 3816

Related Least Common Multiples of 3816

Related Least Common Multiples of 3818

Frequently Asked Questions on LCM of 3816 and 3818

1. What is the LCM of 3816 and 3818?

Answer: LCM of 3816 and 3818 is 7284744.

2. What are the Factors of 3816?

Answer: Factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816. There are 24 integers that are factors of 3816. The greatest factor of 3816 is 3816.

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 3816 and 3818?

Answer:

Least Common Multiple of 3816 and 3818 = 7284744

Step 1: Find the prime factorization of 3816

3816 = 2 x 2 x 2 x 3 x 3 x 53

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 = 7284744 = 2 x 2 x 2 x 3 x 3 x 23 x 53 x 83

Step 4: Therefore, the least common multiple of 3816 and 3818 is 7284744.