Least Common Multiple of 4862 and 4863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4862 and 4863 the smallest integer that is 23643906 that is divisible by both numbers.

Least Common Multiple (LCM) of 4862 and 4863 is 23643906.

LCM(4862,4863) = 23643906

LCM of 4862 and 4863

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

LCM of:
and

Least Common Multiple of 4862 and 4863

LCM of 4862 and 4863 is 23643906

Least common multiple can be found by multiplying the highest exponent prime factors of 4862 and 4863. First we will calculate the prime factors of 4862 and 4863.

Prime Factorization of 4862


2 4862
11 2431
13 221
17 17
1

Prime factors of 4862 are 2, 11, 13,17. Prime factorization of 4862 in exponential form is:

4862 = 21×111×131×171

Prime Factorization of 4863


3 4863
1621 1621
1

Prime factors of 4863 are 3,1621. Prime factorization of 4863 in exponential form is:

4863 = 31×16211

Now multiplying the highest exponent prime factors to calculate the LCM of 4862 and 4863.

LCM(4862,4863) = 21×31×111×131×171×16211
LCM(4862,4863) = 23643906

Factors of 4862

List of positive integer factors of 4862 that divides 4862 without a remainder.

1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862

Factors of 4863

List of positive integer factors of 4863 that divides 4863 without a remainder.

1, 3, 1621, 4863

Least Common Multiple of 4862 and 4863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4862 and 4863, than apply into the LCM equation.

GCF(4862,4863) = 1
LCM(4862,4863) = ( 4862 × 4863) / 1
LCM(4862,4863) = 23643906 / 1
LCM(4862,4863) = 23643906

Properties of LCM 4862 and 4863

(i) The LCM of 4863 and 4862 is associative

LCM of 4862 and 4863 = LCM of 4863 and 4862

Related Least Common Multiples of 4862

Related Least Common Multiples of 4863

Frequently Asked Questions on LCM of 4862 and 4863

1. What is the LCM of 4862 and 4863?

Answer: LCM of 4862 and 4863 is 23643906.

2. What are the Factors of 4862?

Answer: Factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862. There are 16 integers that are factors of 4862. The greatest factor of 4862 is 4862.

3. What are the Factors of 4863?

Answer: Factors of 4863 are 1, 3, 1621, 4863. There are 4 integers that are factors of 4863. The greatest factor of 4863 is 4863.

4. How to Find the LCM of 4862 and 4863?

Answer:

Least Common Multiple of 4862 and 4863 = 23643906

Step 1: Find the prime factorization of 4862

4862 = 2 x 11 x 13 x 17

Step 2: Find the prime factorization of 4863

4863 = 3 x 1621

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

LCM = 23643906 = 2 x 3 x 11 x 13 x 17 x 1621

Step 4: Therefore, the least common multiple of 4862 and 4863 is 23643906.