Least Common Multiple of 3854 and 3860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3854 and 3860 the smallest integer that is 7438220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3854 and 3860 is 7438220.

LCM(3854,3860) = 7438220

LCM of 3854 and 3860

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

LCM of:
and

Least Common Multiple of 3854 and 3860

LCM of 3854 and 3860 is 7438220

Least common multiple can be found by multiplying the highest exponent prime factors of 3854 and 3860. First we will calculate the prime factors of 3854 and 3860.

Prime Factorization of 3854


2 3854
41 1927
47 47
1

Prime factors of 3854 are 2, 41,47. Prime factorization of 3854 in exponential form is:

3854 = 21×411×471

Prime Factorization of 3860


2 3860
2 1930
5 965
193 193
1

Prime factors of 3860 are 2, 5,193. Prime factorization of 3860 in exponential form is:

3860 = 22×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3854 and 3860.

LCM(3854,3860) = 22×51×411×471×1931
LCM(3854,3860) = 7438220

Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1, 2, 41, 47, 82, 94, 1927, 3854

Factors of 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860

Least Common Multiple of 3854 and 3860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3854 and 3860, than apply into the LCM equation.

GCF(3854,3860) = 2
LCM(3854,3860) = ( 3854 × 3860) / 2
LCM(3854,3860) = 14876440 / 2
LCM(3854,3860) = 7438220

Properties of LCM 3854 and 3860

(i) The LCM of 3860 and 3854 is associative

LCM of 3854 and 3860 = LCM of 3860 and 3854

Related Least Common Multiples of 3854

Related Least Common Multiples of 3860

Frequently Asked Questions on LCM of 3854 and 3860

1. What is the LCM of 3854 and 3860?

Answer: LCM of 3854 and 3860 is 7438220.

2. What are the Factors of 3854?

Answer: Factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854. There are 8 integers that are factors of 3854. The greatest factor of 3854 is 3854.

3. What are the Factors of 3860?

Answer: Factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860. There are 12 integers that are factors of 3860. The greatest factor of 3860 is 3860.

4. How to Find the LCM of 3854 and 3860?

Answer:

Least Common Multiple of 3854 and 3860 = 7438220

Step 1: Find the prime factorization of 3854

3854 = 2 x 41 x 47

Step 2: Find the prime factorization of 3860

3860 = 2 x 2 x 5 x 193

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

LCM = 7438220 = 2 x 2 x 5 x 41 x 47 x 193

Step 4: Therefore, the least common multiple of 3854 and 3860 is 7438220.