Least Common Multiple of 4857 and 4862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4857 and 4862 the smallest integer that is 23614734 that is divisible by both numbers.

Least Common Multiple (LCM) of 4857 and 4862 is 23614734.

LCM(4857,4862) = 23614734

LCM of 4857 and 4862

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

LCM of:
and

Least Common Multiple of 4857 and 4862

LCM of 4857 and 4862 is 23614734

Least common multiple can be found by multiplying the highest exponent prime factors of 4857 and 4862. First we will calculate the prime factors of 4857 and 4862.

Prime Factorization of 4857


3 4857
1619 1619
1

Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:

4857 = 31×16191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4857 and 4862.

LCM(4857,4862) = 21×31×111×131×171×16191
LCM(4857,4862) = 23614734

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1, 3, 1619, 4857

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

Least Common Multiple of 4857 and 4862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4857 and 4862, than apply into the LCM equation.

GCF(4857,4862) = 1
LCM(4857,4862) = ( 4857 × 4862) / 1
LCM(4857,4862) = 23614734 / 1
LCM(4857,4862) = 23614734

Properties of LCM 4857 and 4862

(i) The LCM of 4862 and 4857 is associative

LCM of 4857 and 4862 = LCM of 4862 and 4857

Related Least Common Multiples of 4857

Related Least Common Multiples of 4862

Frequently Asked Questions on LCM of 4857 and 4862

1. What is the LCM of 4857 and 4862?

Answer: LCM of 4857 and 4862 is 23614734.

2. What are the Factors of 4857?

Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.

3. 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.

4. How to Find the LCM of 4857 and 4862?

Answer:

Least Common Multiple of 4857 and 4862 = 23614734

Step 1: Find the prime factorization of 4857

4857 = 3 x 1619

Step 2: Find the prime factorization of 4862

4862 = 2 x 11 x 13 x 17

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

LCM = 23614734 = 2 x 3 x 11 x 13 x 17 x 1619

Step 4: Therefore, the least common multiple of 4857 and 4862 is 23614734.