Least Common Multiple of 3798 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 3798 and 3806 the smallest integer that is 7227594 that is divisible by both numbers.

Least Common Multiple (LCM) of 3798 and 3806 is 7227594.

LCM(3798,3806) = 7227594

LCM of 3798 and 3806

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

LCM of:
and

Least Common Multiple of 3798 and 3806

LCM of 3798 and 3806 is 7227594

Least common multiple can be found by multiplying the highest exponent prime factors of 3798 and 3806. First we will calculate the prime factors of 3798 and 3806.

Prime Factorization of 3798


2 3798
3 1899
3 633
211 211
1

Prime factors of 3798 are 2, 3,211. Prime factorization of 3798 in exponential form is:

3798 = 21×32×2111

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 3798 and 3806.

LCM(3798,3806) = 21×32×111×1731×2111
LCM(3798,3806) = 7227594

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798

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 3798 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 3798 and 3806, than apply into the LCM equation.

GCF(3798,3806) = 2
LCM(3798,3806) = ( 3798 × 3806) / 2
LCM(3798,3806) = 14455188 / 2
LCM(3798,3806) = 7227594

Properties of LCM 3798 and 3806

(i) The LCM of 3806 and 3798 is associative

LCM of 3798 and 3806 = LCM of 3806 and 3798

Related Least Common Multiples of 3798

Related Least Common Multiples of 3806

Frequently Asked Questions on LCM of 3798 and 3806

1. What is the LCM of 3798 and 3806?

Answer: LCM of 3798 and 3806 is 7227594.

2. What are the Factors of 3798?

Answer: Factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798. There are 12 integers that are factors of 3798. The greatest factor of 3798 is 3798.

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 3798 and 3806?

Answer:

Least Common Multiple of 3798 and 3806 = 7227594

Step 1: Find the prime factorization of 3798

3798 = 2 x 3 x 3 x 211

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 = 7227594 = 2 x 3 x 3 x 11 x 173 x 211

Step 4: Therefore, the least common multiple of 3798 and 3806 is 7227594.