Least Common Multiple of 3806 and 3807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3806 and 3807 the smallest integer that is 14489442 that is divisible by both numbers.

Least Common Multiple (LCM) of 3806 and 3807 is 14489442.

LCM(3806,3807) = 14489442

LCM of 3806 and 3807

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

LCM of:
and

Least Common Multiple of 3806 and 3807

LCM of 3806 and 3807 is 14489442

Least common multiple can be found by multiplying the highest exponent prime factors of 3806 and 3807. First we will calculate the prime factors of 3806 and 3807.

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

Prime Factorization of 3807


3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 3807 are 3,47. Prime factorization of 3807 in exponential form is:

3807 = 34×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3806 and 3807.

LCM(3806,3807) = 21×34×111×471×1731
LCM(3806,3807) = 14489442

Factors of 3806

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

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

Factors of 3807

List of positive integer factors of 3807 that divides 3807 without a remainder.

1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807

Least Common Multiple of 3806 and 3807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3806 and 3807, than apply into the LCM equation.

GCF(3806,3807) = 1
LCM(3806,3807) = ( 3806 × 3807) / 1
LCM(3806,3807) = 14489442 / 1
LCM(3806,3807) = 14489442

Properties of LCM 3806 and 3807

(i) The LCM of 3807 and 3806 is associative

LCM of 3806 and 3807 = LCM of 3807 and 3806

Related Least Common Multiples of 3806

Related Least Common Multiples of 3807

Frequently Asked Questions on LCM of 3806 and 3807

1. What is the LCM of 3806 and 3807?

Answer: LCM of 3806 and 3807 is 14489442.

2. 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.

3. What are the Factors of 3807?

Answer: Factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807. There are 10 integers that are factors of 3807. The greatest factor of 3807 is 3807.

4. How to Find the LCM of 3806 and 3807?

Answer:

Least Common Multiple of 3806 and 3807 = 14489442

Step 1: Find the prime factorization of 3806

3806 = 2 x 11 x 173

Step 2: Find the prime factorization of 3807

3807 = 3 x 3 x 3 x 3 x 47

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

LCM = 14489442 = 2 x 3 x 3 x 3 x 3 x 11 x 47 x 173

Step 4: Therefore, the least common multiple of 3806 and 3807 is 14489442.