Least Common Multiple of 3797 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 3797 and 3805 the smallest integer that is 14447585 that is divisible by both numbers.

Least Common Multiple (LCM) of 3797 and 3805 is 14447585.

LCM(3797,3805) = 14447585

LCM of 3797 and 3805

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

LCM of:
and

Least Common Multiple of 3797 and 3805

LCM of 3797 and 3805 is 14447585

Least common multiple can be found by multiplying the highest exponent prime factors of 3797 and 3805. First we will calculate the prime factors of 3797 and 3805.

Prime Factorization of 3797


3797 3797
1

Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:

3797 = 37971

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 3797 and 3805.

LCM(3797,3805) = 51×7611×37971
LCM(3797,3805) = 14447585

Factors of 3797

List of positive integer factors of 3797 that divides 3797 without a remainder.

1, 3797

Factors of 3805

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

1, 5, 761, 3805

Least Common Multiple of 3797 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 3797 and 3805, than apply into the LCM equation.

GCF(3797,3805) = 1
LCM(3797,3805) = ( 3797 × 3805) / 1
LCM(3797,3805) = 14447585 / 1
LCM(3797,3805) = 14447585

Properties of LCM 3797 and 3805

(i) The LCM of 3805 and 3797 is associative

LCM of 3797 and 3805 = LCM of 3805 and 3797

Related Least Common Multiples of 3797

Related Least Common Multiples of 3805

Frequently Asked Questions on LCM of 3797 and 3805

1. What is the LCM of 3797 and 3805?

Answer: LCM of 3797 and 3805 is 14447585.

2. What are the Factors of 3797?

Answer: Factors of 3797 are 1, 3797. There are 2 integers that are factors of 3797. The greatest factor of 3797 is 3797.

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 3797 and 3805?

Answer:

Least Common Multiple of 3797 and 3805 = 14447585

Step 1: Find the prime factorization of 3797

3797 = 3797

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 = 14447585 = 5 x 761 x 3797

Step 4: Therefore, the least common multiple of 3797 and 3805 is 14447585.