Least Common Multiple of 3858 and 3863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3858 and 3863 the smallest integer that is 14903454 that is divisible by both numbers.

Least Common Multiple (LCM) of 3858 and 3863 is 14903454.

LCM(3858,3863) = 14903454

LCM of 3858 and 3863

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

LCM of:
and

Least Common Multiple of 3858 and 3863

LCM of 3858 and 3863 is 14903454

Least common multiple can be found by multiplying the highest exponent prime factors of 3858 and 3863. First we will calculate the prime factors of 3858 and 3863.

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

Prime Factorization of 3863


3863 3863
1

Prime factors of 3863 are 3863. Prime factorization of 3863 in exponential form is:

3863 = 38631

Now multiplying the highest exponent prime factors to calculate the LCM of 3858 and 3863.

LCM(3858,3863) = 21×31×6431×38631
LCM(3858,3863) = 14903454

Factors of 3858

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

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

Factors of 3863

List of positive integer factors of 3863 that divides 3863 without a remainder.

1, 3863

Least Common Multiple of 3858 and 3863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3858 and 3863, than apply into the LCM equation.

GCF(3858,3863) = 1
LCM(3858,3863) = ( 3858 × 3863) / 1
LCM(3858,3863) = 14903454 / 1
LCM(3858,3863) = 14903454

Properties of LCM 3858 and 3863

(i) The LCM of 3863 and 3858 is associative

LCM of 3858 and 3863 = LCM of 3863 and 3858

Related Least Common Multiples of 3858

Related Least Common Multiples of 3863

Frequently Asked Questions on LCM of 3858 and 3863

1. What is the LCM of 3858 and 3863?

Answer: LCM of 3858 and 3863 is 14903454.

2. 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.

3. What are the Factors of 3863?

Answer: Factors of 3863 are 1, 3863. There are 2 integers that are factors of 3863. The greatest factor of 3863 is 3863.

4. How to Find the LCM of 3858 and 3863?

Answer:

Least Common Multiple of 3858 and 3863 = 14903454

Step 1: Find the prime factorization of 3858

3858 = 2 x 3 x 643

Step 2: Find the prime factorization of 3863

3863 = 3863

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

LCM = 14903454 = 2 x 3 x 643 x 3863

Step 4: Therefore, the least common multiple of 3858 and 3863 is 14903454.