Least Common Multiple of 3800 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 3800 and 3802 the smallest integer that is 7223800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3800 and 3802 is 7223800.

LCM(3800,3802) = 7223800

LCM of 3800 and 3802

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

LCM of:
and

Least Common Multiple of 3800 and 3802

LCM of 3800 and 3802 is 7223800

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3802. First we will calculate the prime factors of 3800 and 3802.

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 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 3800 and 3802.

LCM(3800,3802) = 23×52×191×19011
LCM(3800,3802) = 7223800

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 3802

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

1, 2, 1901, 3802

Least Common Multiple of 3800 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 3800 and 3802, than apply into the LCM equation.

GCF(3800,3802) = 2
LCM(3800,3802) = ( 3800 × 3802) / 2
LCM(3800,3802) = 14447600 / 2
LCM(3800,3802) = 7223800

Properties of LCM 3800 and 3802

(i) The LCM of 3802 and 3800 is associative

LCM of 3800 and 3802 = LCM of 3802 and 3800

Related Least Common Multiples of 3800

Related Least Common Multiples of 3802

Frequently Asked Questions on LCM of 3800 and 3802

1. What is the LCM of 3800 and 3802?

Answer: LCM of 3800 and 3802 is 7223800.

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 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 3800 and 3802?

Answer:

Least Common Multiple of 3800 and 3802 = 7223800

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 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 = 7223800 = 2 x 2 x 2 x 5 x 5 x 19 x 1901

Step 4: Therefore, the least common multiple of 3800 and 3802 is 7223800.