Least Common Multiple of 3812 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 3812 and 3818 the smallest integer that is 7277108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3812 and 3818 is 7277108.

LCM(3812,3818) = 7277108

LCM of 3812 and 3818

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

LCM of:
and

Least Common Multiple of 3812 and 3818

LCM of 3812 and 3818 is 7277108

Least common multiple can be found by multiplying the highest exponent prime factors of 3812 and 3818. First we will calculate the prime factors of 3812 and 3818.

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 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 3812 and 3818.

LCM(3812,3818) = 22×231×831×9531
LCM(3812,3818) = 7277108

Factors of 3812

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

1, 2, 4, 953, 1906, 3812

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 3812 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 3812 and 3818, than apply into the LCM equation.

GCF(3812,3818) = 2
LCM(3812,3818) = ( 3812 × 3818) / 2
LCM(3812,3818) = 14554216 / 2
LCM(3812,3818) = 7277108

Properties of LCM 3812 and 3818

(i) The LCM of 3818 and 3812 is associative

LCM of 3812 and 3818 = LCM of 3818 and 3812

Related Least Common Multiples of 3812

Related Least Common Multiples of 3818

Frequently Asked Questions on LCM of 3812 and 3818

1. What is the LCM of 3812 and 3818?

Answer: LCM of 3812 and 3818 is 7277108.

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 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 3812 and 3818?

Answer:

Least Common Multiple of 3812 and 3818 = 7277108

Step 1: Find the prime factorization of 3812

3812 = 2 x 2 x 953

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 = 7277108 = 2 x 2 x 23 x 83 x 953

Step 4: Therefore, the least common multiple of 3812 and 3818 is 7277108.