Least Common Multiple of 3800 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 3800 and 3801 the smallest integer that is 14443800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3800 and 3801 is 14443800.

LCM(3800,3801) = 14443800

LCM of 3800 and 3801

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

LCM of:
and

Least Common Multiple of 3800 and 3801

LCM of 3800 and 3801 is 14443800

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3801. First we will calculate the prime factors of 3800 and 3801.

Prime Factorization of 3800


2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 3800 are 2, 5,19. Prime factorization of 3800 in exponential form is:

3800 = 23×52×191

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 3800 and 3801.

LCM(3800,3801) = 23×31×52×71×191×1811
LCM(3800,3801) = 14443800

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800

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 3800 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 3800 and 3801, than apply into the LCM equation.

GCF(3800,3801) = 1
LCM(3800,3801) = ( 3800 × 3801) / 1
LCM(3800,3801) = 14443800 / 1
LCM(3800,3801) = 14443800

Properties of LCM 3800 and 3801

(i) The LCM of 3801 and 3800 is associative

LCM of 3800 and 3801 = LCM of 3801 and 3800

Related Least Common Multiples of 3800

Related Least Common Multiples of 3801

Frequently Asked Questions on LCM of 3800 and 3801

1. What is the LCM of 3800 and 3801?

Answer: LCM of 3800 and 3801 is 14443800.

2. What are the Factors of 3800?

Answer: Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. There are 24 integers that are factors of 3800. The greatest factor of 3800 is 3800.

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 3800 and 3801?

Answer:

Least Common Multiple of 3800 and 3801 = 14443800

Step 1: Find the prime factorization of 3800

3800 = 2 x 2 x 2 x 5 x 5 x 19

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 = 14443800 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 19 x 181

Step 4: Therefore, the least common multiple of 3800 and 3801 is 14443800.