Least Common Multiple of 3799 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 3799 and 3807 the smallest integer that is 14462793 that is divisible by both numbers.

Least Common Multiple (LCM) of 3799 and 3807 is 14462793.

LCM(3799,3807) = 14462793

LCM of 3799 and 3807

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

LCM of:
and

Least Common Multiple of 3799 and 3807

LCM of 3799 and 3807 is 14462793

Least common multiple can be found by multiplying the highest exponent prime factors of 3799 and 3807. First we will calculate the prime factors of 3799 and 3807.

Prime Factorization of 3799


29 3799
131 131
1

Prime factors of 3799 are 29,131. Prime factorization of 3799 in exponential form is:

3799 = 291×1311

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 3799 and 3807.

LCM(3799,3807) = 34×291×471×1311
LCM(3799,3807) = 14462793

Factors of 3799

List of positive integer factors of 3799 that divides 3799 without a remainder.

1, 29, 131, 3799

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 3799 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 3799 and 3807, than apply into the LCM equation.

GCF(3799,3807) = 1
LCM(3799,3807) = ( 3799 × 3807) / 1
LCM(3799,3807) = 14462793 / 1
LCM(3799,3807) = 14462793

Properties of LCM 3799 and 3807

(i) The LCM of 3807 and 3799 is associative

LCM of 3799 and 3807 = LCM of 3807 and 3799

Related Least Common Multiples of 3799

Related Least Common Multiples of 3807

Frequently Asked Questions on LCM of 3799 and 3807

1. What is the LCM of 3799 and 3807?

Answer: LCM of 3799 and 3807 is 14462793.

2. What are the Factors of 3799?

Answer: Factors of 3799 are 1, 29, 131, 3799. There are 4 integers that are factors of 3799. The greatest factor of 3799 is 3799.

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 3799 and 3807?

Answer:

Least Common Multiple of 3799 and 3807 = 14462793

Step 1: Find the prime factorization of 3799

3799 = 29 x 131

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 = 14462793 = 3 x 3 x 3 x 3 x 29 x 47 x 131

Step 4: Therefore, the least common multiple of 3799 and 3807 is 14462793.