Least Common Multiple of 3797 and 3802

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 3802 the smallest integer that is 14436194 that is divisible by both numbers.

Least Common Multiple (LCM) of 3797 and 3802 is 14436194.

LCM(3797,3802) = 14436194

LCM of 3797 and 3802

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

LCM of:
and

Least Common Multiple of 3797 and 3802

LCM of 3797 and 3802 is 14436194

Least common multiple can be found by multiplying the highest exponent prime factors of 3797 and 3802. First we will calculate the prime factors of 3797 and 3802.

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 3802


2 3802
1901 1901
1

Prime factors of 3802 are 2,1901. Prime factorization of 3802 in exponential form is:

3802 = 21×19011

Now multiplying the highest exponent prime factors to calculate the LCM of 3797 and 3802.

LCM(3797,3802) = 21×19011×37971
LCM(3797,3802) = 14436194

Factors of 3797

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

1, 3797

Factors of 3802

List of positive integer factors of 3802 that divides 3802 without a remainder.

1, 2, 1901, 3802

Least Common Multiple of 3797 and 3802 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 3802, than apply into the LCM equation.

GCF(3797,3802) = 1
LCM(3797,3802) = ( 3797 × 3802) / 1
LCM(3797,3802) = 14436194 / 1
LCM(3797,3802) = 14436194

Properties of LCM 3797 and 3802

(i) The LCM of 3802 and 3797 is associative

LCM of 3797 and 3802 = LCM of 3802 and 3797

Frequently Asked Questions on LCM of 3797 and 3802

1. What is the LCM of 3797 and 3802?

Answer: LCM of 3797 and 3802 is 14436194.

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 3802?

Answer: Factors of 3802 are 1, 2, 1901, 3802. There are 4 integers that are factors of 3802. The greatest factor of 3802 is 3802.

4. How to Find the LCM of 3797 and 3802?

Answer:

Least Common Multiple of 3797 and 3802 = 14436194

Step 1: Find the prime factorization of 3797

3797 = 3797

Step 2: Find the prime factorization of 3802

3802 = 2 x 1901

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

LCM = 14436194 = 2 x 1901 x 3797

Step 4: Therefore, the least common multiple of 3797 and 3802 is 14436194.