Least Common Multiple of 3802 and 3806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3802 and 3806 the smallest integer that is 7235206 that is divisible by both numbers.

Least Common Multiple (LCM) of 3802 and 3806 is 7235206.

LCM(3802,3806) = 7235206

LCM of 3802 and 3806

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

LCM of:
and

Least Common Multiple of 3802 and 3806

LCM of 3802 and 3806 is 7235206

Least common multiple can be found by multiplying the highest exponent prime factors of 3802 and 3806. First we will calculate the prime factors of 3802 and 3806.

Prime Factorization of 3802


2 3802
1901 1901
1

Prime factors of 3802 are 2,1901. Prime factorization of 3802 in exponential form is:

3802 = 21×19011

Prime Factorization of 3806


2 3806
11 1903
173 173
1

Prime factors of 3806 are 2, 11,173. Prime factorization of 3806 in exponential form is:

3806 = 21×111×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 3802 and 3806.

LCM(3802,3806) = 21×111×1731×19011
LCM(3802,3806) = 7235206

Factors of 3802

List of positive integer factors of 3802 that divides 3802 without a remainder.

1, 2, 1901, 3802

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1, 2, 11, 22, 173, 346, 1903, 3806

Least Common Multiple of 3802 and 3806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3802 and 3806, than apply into the LCM equation.

GCF(3802,3806) = 2
LCM(3802,3806) = ( 3802 × 3806) / 2
LCM(3802,3806) = 14470412 / 2
LCM(3802,3806) = 7235206

Properties of LCM 3802 and 3806

(i) The LCM of 3806 and 3802 is associative

LCM of 3802 and 3806 = LCM of 3806 and 3802

Related Least Common Multiples of 3802

Related Least Common Multiples of 3806

Frequently Asked Questions on LCM of 3802 and 3806

1. What is the LCM of 3802 and 3806?

Answer: LCM of 3802 and 3806 is 7235206.

2. What are the Factors of 3802?

Answer: Factors of 3802 are 1, 2, 1901, 3802. There are 4 integers that are factors of 3802. The greatest factor of 3802 is 3802.

3. What are the Factors of 3806?

Answer: Factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806. There are 8 integers that are factors of 3806. The greatest factor of 3806 is 3806.

4. How to Find the LCM of 3802 and 3806?

Answer:

Least Common Multiple of 3802 and 3806 = 7235206

Step 1: Find the prime factorization of 3802

3802 = 2 x 1901

Step 2: Find the prime factorization of 3806

3806 = 2 x 11 x 173

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

LCM = 7235206 = 2 x 11 x 173 x 1901

Step 4: Therefore, the least common multiple of 3802 and 3806 is 7235206.