Least Common Multiple of 3812 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 3812 and 3816 the smallest integer that is 3636648 that is divisible by both numbers.

Least Common Multiple (LCM) of 3812 and 3816 is 3636648.

LCM(3812,3816) = 3636648

LCM of 3812 and 3816

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

LCM of:
and

Least Common Multiple of 3812 and 3816

LCM of 3812 and 3816 is 3636648

Least common multiple can be found by multiplying the highest exponent prime factors of 3812 and 3816. First we will calculate the prime factors of 3812 and 3816.

Prime Factorization of 3812


2 3812
2 1906
953 953
1

Prime factors of 3812 are 2,953. Prime factorization of 3812 in exponential form is:

3812 = 22×9531

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 3812 and 3816.

LCM(3812,3816) = 23×32×531×9531
LCM(3812,3816) = 3636648

Factors of 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1, 2, 4, 953, 1906, 3812

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 3812 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 3812 and 3816, than apply into the LCM equation.

GCF(3812,3816) = 4
LCM(3812,3816) = ( 3812 × 3816) / 4
LCM(3812,3816) = 14546592 / 4
LCM(3812,3816) = 3636648

Properties of LCM 3812 and 3816

(i) The LCM of 3816 and 3812 is associative

LCM of 3812 and 3816 = LCM of 3816 and 3812

Related Least Common Multiples of 3812

Related Least Common Multiples of 3816

Frequently Asked Questions on LCM of 3812 and 3816

1. What is the LCM of 3812 and 3816?

Answer: LCM of 3812 and 3816 is 3636648.

2. What are the Factors of 3812?

Answer: Factors of 3812 are 1, 2, 4, 953, 1906, 3812. There are 6 integers that are factors of 3812. The greatest factor of 3812 is 3812.

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 3812 and 3816?

Answer:

Least Common Multiple of 3812 and 3816 = 3636648

Step 1: Find the prime factorization of 3812

3812 = 2 x 2 x 953

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 = 3636648 = 2 x 2 x 2 x 3 x 3 x 53 x 953

Step 4: Therefore, the least common multiple of 3812 and 3816 is 3636648.