Least Common Multiple of 3798 and 3805

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 3805 the smallest integer that is 14451390 that is divisible by both numbers.

Least Common Multiple (LCM) of 3798 and 3805 is 14451390.

LCM(3798,3805) = 14451390

LCM of 3798 and 3805

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

LCM of:
and

Least Common Multiple of 3798 and 3805

LCM of 3798 and 3805 is 14451390

Least common multiple can be found by multiplying the highest exponent prime factors of 3798 and 3805. First we will calculate the prime factors of 3798 and 3805.

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 3805


5 3805
761 761
1

Prime factors of 3805 are 5,761. Prime factorization of 3805 in exponential form is:

3805 = 51×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 3798 and 3805.

LCM(3798,3805) = 21×32×51×2111×7611
LCM(3798,3805) = 14451390

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 3805

List of positive integer factors of 3805 that divides 3805 without a remainder.

1, 5, 761, 3805

Least Common Multiple of 3798 and 3805 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 3805, than apply into the LCM equation.

GCF(3798,3805) = 1
LCM(3798,3805) = ( 3798 × 3805) / 1
LCM(3798,3805) = 14451390 / 1
LCM(3798,3805) = 14451390

Properties of LCM 3798 and 3805

(i) The LCM of 3805 and 3798 is associative

LCM of 3798 and 3805 = LCM of 3805 and 3798

Related Least Common Multiples of 3798

Related Least Common Multiples of 3805

Frequently Asked Questions on LCM of 3798 and 3805

1. What is the LCM of 3798 and 3805?

Answer: LCM of 3798 and 3805 is 14451390.

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 3805?

Answer: Factors of 3805 are 1, 5, 761, 3805. There are 4 integers that are factors of 3805. The greatest factor of 3805 is 3805.

4. How to Find the LCM of 3798 and 3805?

Answer:

Least Common Multiple of 3798 and 3805 = 14451390

Step 1: Find the prime factorization of 3798

3798 = 2 x 3 x 3 x 211

Step 2: Find the prime factorization of 3805

3805 = 5 x 761

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

LCM = 14451390 = 2 x 3 x 3 x 5 x 211 x 761

Step 4: Therefore, the least common multiple of 3798 and 3805 is 14451390.