Least Common Multiple of 3798 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 3798 and 3803 the smallest integer that is 14443794 that is divisible by both numbers.

Least Common Multiple (LCM) of 3798 and 3803 is 14443794.

LCM(3798,3803) = 14443794

LCM of 3798 and 3803

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

LCM of:
and

Least Common Multiple of 3798 and 3803

LCM of 3798 and 3803 is 14443794

Least common multiple can be found by multiplying the highest exponent prime factors of 3798 and 3803. First we will calculate the prime factors of 3798 and 3803.

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 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 3798 and 3803.

LCM(3798,3803) = 21×32×2111×38031
LCM(3798,3803) = 14443794

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 3803

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

1, 3803

Least Common Multiple of 3798 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 3798 and 3803, than apply into the LCM equation.

GCF(3798,3803) = 1
LCM(3798,3803) = ( 3798 × 3803) / 1
LCM(3798,3803) = 14443794 / 1
LCM(3798,3803) = 14443794

Properties of LCM 3798 and 3803

(i) The LCM of 3803 and 3798 is associative

LCM of 3798 and 3803 = LCM of 3803 and 3798

Related Least Common Multiples of 3798

Related Least Common Multiples of 3803

Frequently Asked Questions on LCM of 3798 and 3803

1. What is the LCM of 3798 and 3803?

Answer: LCM of 3798 and 3803 is 14443794.

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 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 3798 and 3803?

Answer:

Least Common Multiple of 3798 and 3803 = 14443794

Step 1: Find the prime factorization of 3798

3798 = 2 x 3 x 3 x 211

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 = 14443794 = 2 x 3 x 3 x 211 x 3803

Step 4: Therefore, the least common multiple of 3798 and 3803 is 14443794.