Least Common Multiple of 3794 and 3800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3794 and 3800 the smallest integer that is 7208600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3794 and 3800 is 7208600.

LCM(3794,3800) = 7208600

LCM of 3794 and 3800

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

LCM of:
and

Least Common Multiple of 3794 and 3800

LCM of 3794 and 3800 is 7208600

Least common multiple can be found by multiplying the highest exponent prime factors of 3794 and 3800. First we will calculate the prime factors of 3794 and 3800.

Prime Factorization of 3794


2 3794
7 1897
271 271
1

Prime factors of 3794 are 2, 7,271. Prime factorization of 3794 in exponential form is:

3794 = 21×71×2711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3794 and 3800.

LCM(3794,3800) = 23×52×71×191×2711
LCM(3794,3800) = 7208600

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1, 2, 7, 14, 271, 542, 1897, 3794

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

Least Common Multiple of 3794 and 3800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3794 and 3800, than apply into the LCM equation.

GCF(3794,3800) = 2
LCM(3794,3800) = ( 3794 × 3800) / 2
LCM(3794,3800) = 14417200 / 2
LCM(3794,3800) = 7208600

Properties of LCM 3794 and 3800

(i) The LCM of 3800 and 3794 is associative

LCM of 3794 and 3800 = LCM of 3800 and 3794

Related Least Common Multiples of 3794

Related Least Common Multiples of 3800

Frequently Asked Questions on LCM of 3794 and 3800

1. What is the LCM of 3794 and 3800?

Answer: LCM of 3794 and 3800 is 7208600.

2. What are the Factors of 3794?

Answer: Factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794. There are 8 integers that are factors of 3794. The greatest factor of 3794 is 3794.

3. 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.

4. How to Find the LCM of 3794 and 3800?

Answer:

Least Common Multiple of 3794 and 3800 = 7208600

Step 1: Find the prime factorization of 3794

3794 = 2 x 7 x 271

Step 2: Find the prime factorization of 3800

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

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

LCM = 7208600 = 2 x 2 x 2 x 5 x 5 x 7 x 19 x 271

Step 4: Therefore, the least common multiple of 3794 and 3800 is 7208600.