Least Common Multiple of 4854 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 4854 and 4862 the smallest integer that is 11800074 that is divisible by both numbers.

Least Common Multiple (LCM) of 4854 and 4862 is 11800074.

LCM(4854,4862) = 11800074

LCM of 4854 and 4862

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

LCM of:
and

Least Common Multiple of 4854 and 4862

LCM of 4854 and 4862 is 11800074

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4862. First we will calculate the prime factors of 4854 and 4862.

Prime Factorization of 4854


2 4854
3 2427
809 809
1

Prime factors of 4854 are 2, 3,809. Prime factorization of 4854 in exponential form is:

4854 = 21×31×8091

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 4854 and 4862.

LCM(4854,4862) = 21×31×111×131×171×8091
LCM(4854,4862) = 11800074

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1, 2, 3, 6, 809, 1618, 2427, 4854

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 4854 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 4854 and 4862, than apply into the LCM equation.

GCF(4854,4862) = 2
LCM(4854,4862) = ( 4854 × 4862) / 2
LCM(4854,4862) = 23600148 / 2
LCM(4854,4862) = 11800074

Properties of LCM 4854 and 4862

(i) The LCM of 4862 and 4854 is associative

LCM of 4854 and 4862 = LCM of 4862 and 4854

Related Least Common Multiples of 4854

Related Least Common Multiples of 4862

Frequently Asked Questions on LCM of 4854 and 4862

1. What is the LCM of 4854 and 4862?

Answer: LCM of 4854 and 4862 is 11800074.

2. What are the Factors of 4854?

Answer: Factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854. There are 8 integers that are factors of 4854. The greatest factor of 4854 is 4854.

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 4854 and 4862?

Answer:

Least Common Multiple of 4854 and 4862 = 11800074

Step 1: Find the prime factorization of 4854

4854 = 2 x 3 x 809

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 = 11800074 = 2 x 3 x 11 x 13 x 17 x 809

Step 4: Therefore, the least common multiple of 4854 and 4862 is 11800074.