Least Common Multiple of 3834 and 3838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3834 and 3838 the smallest integer that is 7357446 that is divisible by both numbers.

Least Common Multiple (LCM) of 3834 and 3838 is 7357446.

LCM(3834,3838) = 7357446

LCM of 3834 and 3838

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

LCM of:
and

Least Common Multiple of 3834 and 3838

LCM of 3834 and 3838 is 7357446

Least common multiple can be found by multiplying the highest exponent prime factors of 3834 and 3838. First we will calculate the prime factors of 3834 and 3838.

Prime Factorization of 3834


2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 3834 are 2, 3,71. Prime factorization of 3834 in exponential form is:

3834 = 21×33×711

Prime Factorization of 3838


2 3838
19 1919
101 101
1

Prime factors of 3838 are 2, 19,101. Prime factorization of 3838 in exponential form is:

3838 = 21×191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3834 and 3838.

LCM(3834,3838) = 21×33×191×711×1011
LCM(3834,3838) = 7357446

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1, 2, 19, 38, 101, 202, 1919, 3838

Least Common Multiple of 3834 and 3838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3834 and 3838, than apply into the LCM equation.

GCF(3834,3838) = 2
LCM(3834,3838) = ( 3834 × 3838) / 2
LCM(3834,3838) = 14714892 / 2
LCM(3834,3838) = 7357446

Properties of LCM 3834 and 3838

(i) The LCM of 3838 and 3834 is associative

LCM of 3834 and 3838 = LCM of 3838 and 3834

Related Least Common Multiples of 3834

Related Least Common Multiples of 3838

Frequently Asked Questions on LCM of 3834 and 3838

1. What is the LCM of 3834 and 3838?

Answer: LCM of 3834 and 3838 is 7357446.

2. What are the Factors of 3834?

Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.

3. What are the Factors of 3838?

Answer: Factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838. There are 8 integers that are factors of 3838. The greatest factor of 3838 is 3838.

4. How to Find the LCM of 3834 and 3838?

Answer:

Least Common Multiple of 3834 and 3838 = 7357446

Step 1: Find the prime factorization of 3834

3834 = 2 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 3838

3838 = 2 x 19 x 101

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

LCM = 7357446 = 2 x 3 x 3 x 3 x 19 x 71 x 101

Step 4: Therefore, the least common multiple of 3834 and 3838 is 7357446.