Least Common Multiple of 3807 and 3813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3807 and 3813 the smallest integer that is 4838697 that is divisible by both numbers.

Least Common Multiple (LCM) of 3807 and 3813 is 4838697.

LCM(3807,3813) = 4838697

LCM of 3807 and 3813

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

LCM of:
and

Least Common Multiple of 3807 and 3813

LCM of 3807 and 3813 is 4838697

Least common multiple can be found by multiplying the highest exponent prime factors of 3807 and 3813. First we will calculate the prime factors of 3807 and 3813.

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

Prime Factorization of 3813


3 3813
31 1271
41 41
1

Prime factors of 3813 are 3, 31,41. Prime factorization of 3813 in exponential form is:

3813 = 31×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3807 and 3813.

LCM(3807,3813) = 34×311×411×471
LCM(3807,3813) = 4838697

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

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1, 3, 31, 41, 93, 123, 1271, 3813

Least Common Multiple of 3807 and 3813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3807 and 3813, than apply into the LCM equation.

GCF(3807,3813) = 3
LCM(3807,3813) = ( 3807 × 3813) / 3
LCM(3807,3813) = 14516091 / 3
LCM(3807,3813) = 4838697

Properties of LCM 3807 and 3813

(i) The LCM of 3813 and 3807 is associative

LCM of 3807 and 3813 = LCM of 3813 and 3807

Related Least Common Multiples of 3807

Related Least Common Multiples of 3813

Frequently Asked Questions on LCM of 3807 and 3813

1. What is the LCM of 3807 and 3813?

Answer: LCM of 3807 and 3813 is 4838697.

2. 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.

3. What are the Factors of 3813?

Answer: Factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813. There are 8 integers that are factors of 3813. The greatest factor of 3813 is 3813.

4. How to Find the LCM of 3807 and 3813?

Answer:

Least Common Multiple of 3807 and 3813 = 4838697

Step 1: Find the prime factorization of 3807

3807 = 3 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 3813

3813 = 3 x 31 x 41

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

LCM = 4838697 = 3 x 3 x 3 x 3 x 31 x 41 x 47

Step 4: Therefore, the least common multiple of 3807 and 3813 is 4838697.