Least Common Multiple of 4862 and 4867

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 4867 the smallest integer that is 23663354 that is divisible by both numbers.

Least Common Multiple (LCM) of 4862 and 4867 is 23663354.

LCM(4862,4867) = 23663354

LCM of 4862 and 4867

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

LCM of:
and

Least Common Multiple of 4862 and 4867

LCM of 4862 and 4867 is 23663354

Least common multiple can be found by multiplying the highest exponent prime factors of 4862 and 4867. First we will calculate the prime factors of 4862 and 4867.

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 4867


31 4867
157 157
1

Prime factors of 4867 are 31,157. Prime factorization of 4867 in exponential form is:

4867 = 311×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4862 and 4867.

LCM(4862,4867) = 21×111×131×171×311×1571
LCM(4862,4867) = 23663354

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 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1, 31, 157, 4867

Least Common Multiple of 4862 and 4867 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 4867, than apply into the LCM equation.

GCF(4862,4867) = 1
LCM(4862,4867) = ( 4862 × 4867) / 1
LCM(4862,4867) = 23663354 / 1
LCM(4862,4867) = 23663354

Properties of LCM 4862 and 4867

(i) The LCM of 4867 and 4862 is associative

LCM of 4862 and 4867 = LCM of 4867 and 4862

Related Least Common Multiples of 4862

Related Least Common Multiples of 4867

Frequently Asked Questions on LCM of 4862 and 4867

1. What is the LCM of 4862 and 4867?

Answer: LCM of 4862 and 4867 is 23663354.

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 4867?

Answer: Factors of 4867 are 1, 31, 157, 4867. There are 4 integers that are factors of 4867. The greatest factor of 4867 is 4867.

4. How to Find the LCM of 4862 and 4867?

Answer:

Least Common Multiple of 4862 and 4867 = 23663354

Step 1: Find the prime factorization of 4862

4862 = 2 x 11 x 13 x 17

Step 2: Find the prime factorization of 4867

4867 = 31 x 157

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

LCM = 23663354 = 2 x 11 x 13 x 17 x 31 x 157

Step 4: Therefore, the least common multiple of 4862 and 4867 is 23663354.