Least Common Multiple of 3797 and 3801

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 3801 the smallest integer that is 14432397 that is divisible by both numbers.

Least Common Multiple (LCM) of 3797 and 3801 is 14432397.

LCM(3797,3801) = 14432397

LCM of 3797 and 3801

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

LCM of:
and

Least Common Multiple of 3797 and 3801

LCM of 3797 and 3801 is 14432397

Least common multiple can be found by multiplying the highest exponent prime factors of 3797 and 3801. First we will calculate the prime factors of 3797 and 3801.

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 3801


3 3801
7 1267
181 181
1

Prime factors of 3801 are 3, 7,181. Prime factorization of 3801 in exponential form is:

3801 = 31×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3797 and 3801.

LCM(3797,3801) = 31×71×1811×37971
LCM(3797,3801) = 14432397

Factors of 3797

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

1, 3797

Factors of 3801

List of positive integer factors of 3801 that divides 3801 without a remainder.

1, 3, 7, 21, 181, 543, 1267, 3801

Least Common Multiple of 3797 and 3801 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 3801, than apply into the LCM equation.

GCF(3797,3801) = 1
LCM(3797,3801) = ( 3797 × 3801) / 1
LCM(3797,3801) = 14432397 / 1
LCM(3797,3801) = 14432397

Properties of LCM 3797 and 3801

(i) The LCM of 3801 and 3797 is associative

LCM of 3797 and 3801 = LCM of 3801 and 3797

Related Least Common Multiples of 3797

Related Least Common Multiples of 3801

Frequently Asked Questions on LCM of 3797 and 3801

1. What is the LCM of 3797 and 3801?

Answer: LCM of 3797 and 3801 is 14432397.

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 3801?

Answer: Factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801. There are 8 integers that are factors of 3801. The greatest factor of 3801 is 3801.

4. How to Find the LCM of 3797 and 3801?

Answer:

Least Common Multiple of 3797 and 3801 = 14432397

Step 1: Find the prime factorization of 3797

3797 = 3797

Step 2: Find the prime factorization of 3801

3801 = 3 x 7 x 181

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

LCM = 14432397 = 3 x 7 x 181 x 3797

Step 4: Therefore, the least common multiple of 3797 and 3801 is 14432397.