Least Common Multiple of 3799 and 3803

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 3803 the smallest integer that is 14447597 that is divisible by both numbers.

Least Common Multiple (LCM) of 3799 and 3803 is 14447597.

LCM(3799,3803) = 14447597

LCM of 3799 and 3803

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

LCM of:
and

Least Common Multiple of 3799 and 3803

LCM of 3799 and 3803 is 14447597

Least common multiple can be found by multiplying the highest exponent prime factors of 3799 and 3803. First we will calculate the prime factors of 3799 and 3803.

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 3803


3803 3803
1

Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:

3803 = 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 3799 and 3803.

LCM(3799,3803) = 291×1311×38031
LCM(3799,3803) = 14447597

Factors of 3799

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

1, 29, 131, 3799

Factors of 3803

List of positive integer factors of 3803 that divides 3803 without a remainder.

1, 3803

Least Common Multiple of 3799 and 3803 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 3803, than apply into the LCM equation.

GCF(3799,3803) = 1
LCM(3799,3803) = ( 3799 × 3803) / 1
LCM(3799,3803) = 14447597 / 1
LCM(3799,3803) = 14447597

Properties of LCM 3799 and 3803

(i) The LCM of 3803 and 3799 is associative

LCM of 3799 and 3803 = LCM of 3803 and 3799

Related Least Common Multiples of 3799

Related Least Common Multiples of 3803

Frequently Asked Questions on LCM of 3799 and 3803

1. What is the LCM of 3799 and 3803?

Answer: LCM of 3799 and 3803 is 14447597.

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 3803?

Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.

4. How to Find the LCM of 3799 and 3803?

Answer:

Least Common Multiple of 3799 and 3803 = 14447597

Step 1: Find the prime factorization of 3799

3799 = 29 x 131

Step 2: Find the prime factorization of 3803

3803 = 3803

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

LCM = 14447597 = 29 x 131 x 3803

Step 4: Therefore, the least common multiple of 3799 and 3803 is 14447597.