Least Common Multiple of 3814 and 3816

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 3816 the smallest integer that is 7277112 that is divisible by both numbers.

Least Common Multiple (LCM) of 3814 and 3816 is 7277112.

LCM(3814,3816) = 7277112

LCM of 3814 and 3816

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

LCM of:
and

Least Common Multiple of 3814 and 3816

LCM of 3814 and 3816 is 7277112

Least common multiple can be found by multiplying the highest exponent prime factors of 3814 and 3816. First we will calculate the prime factors of 3814 and 3816.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3814 and 3816.

LCM(3814,3816) = 23×32×531×19071
LCM(3814,3816) = 7277112

Factors of 3814

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

1, 2, 1907, 3814

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

Least Common Multiple of 3814 and 3816 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 3816, than apply into the LCM equation.

GCF(3814,3816) = 2
LCM(3814,3816) = ( 3814 × 3816) / 2
LCM(3814,3816) = 14554224 / 2
LCM(3814,3816) = 7277112

Properties of LCM 3814 and 3816

(i) The LCM of 3816 and 3814 is associative

LCM of 3814 and 3816 = LCM of 3816 and 3814

Related Least Common Multiples of 3814

Related Least Common Multiples of 3816

Frequently Asked Questions on LCM of 3814 and 3816

1. What is the LCM of 3814 and 3816?

Answer: LCM of 3814 and 3816 is 7277112.

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 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.

4. How to Find the LCM of 3814 and 3816?

Answer:

Least Common Multiple of 3814 and 3816 = 7277112

Step 1: Find the prime factorization of 3814

3814 = 2 x 1907

Step 2: Find the prime factorization of 3816

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

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

LCM = 7277112 = 2 x 2 x 2 x 3 x 3 x 53 x 1907

Step 4: Therefore, the least common multiple of 3814 and 3816 is 7277112.