Least Common Multiple of 3814 and 3822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3814 and 3822 the smallest integer that is 7288554 that is divisible by both numbers.

Least Common Multiple (LCM) of 3814 and 3822 is 7288554.

LCM(3814,3822) = 7288554

LCM of 3814 and 3822

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

LCM of:
and

Least Common Multiple of 3814 and 3822

LCM of 3814 and 3822 is 7288554

Least common multiple can be found by multiplying the highest exponent prime factors of 3814 and 3822. First we will calculate the prime factors of 3814 and 3822.

Prime Factorization of 3814


2 3814
1907 1907
1

Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:

3814 = 21×19071

Prime Factorization of 3822


2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 3822 are 2, 3, 7,13. Prime factorization of 3822 in exponential form is:

3822 = 21×31×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3814 and 3822.

LCM(3814,3822) = 21×31×72×131×19071
LCM(3814,3822) = 7288554

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1, 2, 1907, 3814

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822

Least Common Multiple of 3814 and 3822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3814 and 3822, than apply into the LCM equation.

GCF(3814,3822) = 2
LCM(3814,3822) = ( 3814 × 3822) / 2
LCM(3814,3822) = 14577108 / 2
LCM(3814,3822) = 7288554

Properties of LCM 3814 and 3822

(i) The LCM of 3822 and 3814 is associative

LCM of 3814 and 3822 = LCM of 3822 and 3814

Related Least Common Multiples of 3814

Related Least Common Multiples of 3822

Frequently Asked Questions on LCM of 3814 and 3822

1. What is the LCM of 3814 and 3822?

Answer: LCM of 3814 and 3822 is 7288554.

2. What are the Factors of 3814?

Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.

3. What are the Factors of 3822?

Answer: Factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822. There are 24 integers that are factors of 3822. The greatest factor of 3822 is 3822.

4. How to Find the LCM of 3814 and 3822?

Answer:

Least Common Multiple of 3814 and 3822 = 7288554

Step 1: Find the prime factorization of 3814

3814 = 2 x 1907

Step 2: Find the prime factorization of 3822

3822 = 2 x 3 x 7 x 7 x 13

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

LCM = 7288554 = 2 x 3 x 7 x 7 x 13 x 1907

Step 4: Therefore, the least common multiple of 3814 and 3822 is 7288554.