Least Common Multiple of 3854 and 3858

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 3858 the smallest integer that is 7434366 that is divisible by both numbers.

Least Common Multiple (LCM) of 3854 and 3858 is 7434366.

LCM(3854,3858) = 7434366

LCM of 3854 and 3858

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

LCM of:
and

Least Common Multiple of 3854 and 3858

LCM of 3854 and 3858 is 7434366

Least common multiple can be found by multiplying the highest exponent prime factors of 3854 and 3858. First we will calculate the prime factors of 3854 and 3858.

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 3858


2 3858
3 1929
643 643
1

Prime factors of 3858 are 2, 3,643. Prime factorization of 3858 in exponential form is:

3858 = 21×31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 3854 and 3858.

LCM(3854,3858) = 21×31×411×471×6431
LCM(3854,3858) = 7434366

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 3858

List of positive integer factors of 3858 that divides 3858 without a remainder.

1, 2, 3, 6, 643, 1286, 1929, 3858

Least Common Multiple of 3854 and 3858 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 3858, than apply into the LCM equation.

GCF(3854,3858) = 2
LCM(3854,3858) = ( 3854 × 3858) / 2
LCM(3854,3858) = 14868732 / 2
LCM(3854,3858) = 7434366

Properties of LCM 3854 and 3858

(i) The LCM of 3858 and 3854 is associative

LCM of 3854 and 3858 = LCM of 3858 and 3854

Related Least Common Multiples of 3854

Related Least Common Multiples of 3858

Frequently Asked Questions on LCM of 3854 and 3858

1. What is the LCM of 3854 and 3858?

Answer: LCM of 3854 and 3858 is 7434366.

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 3858?

Answer: Factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858. There are 8 integers that are factors of 3858. The greatest factor of 3858 is 3858.

4. How to Find the LCM of 3854 and 3858?

Answer:

Least Common Multiple of 3854 and 3858 = 7434366

Step 1: Find the prime factorization of 3854

3854 = 2 x 41 x 47

Step 2: Find the prime factorization of 3858

3858 = 2 x 3 x 643

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

LCM = 7434366 = 2 x 3 x 41 x 47 x 643

Step 4: Therefore, the least common multiple of 3854 and 3858 is 7434366.