Least Common Multiple of 4809 and 4814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4809 and 4814 the smallest integer that is 23150526 that is divisible by both numbers.

Least Common Multiple (LCM) of 4809 and 4814 is 23150526.

LCM(4809,4814) = 23150526

LCM of 4809 and 4814

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

LCM of:
and

Least Common Multiple of 4809 and 4814

LCM of 4809 and 4814 is 23150526

Least common multiple can be found by multiplying the highest exponent prime factors of 4809 and 4814. First we will calculate the prime factors of 4809 and 4814.

Prime Factorization of 4809


3 4809
7 1603
229 229
1

Prime factors of 4809 are 3, 7,229. Prime factorization of 4809 in exponential form is:

4809 = 31×71×2291

Prime Factorization of 4814


2 4814
29 2407
83 83
1

Prime factors of 4814 are 2, 29,83. Prime factorization of 4814 in exponential form is:

4814 = 21×291×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4809 and 4814.

LCM(4809,4814) = 21×31×71×291×831×2291
LCM(4809,4814) = 23150526

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1, 3, 7, 21, 229, 687, 1603, 4809

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1, 2, 29, 58, 83, 166, 2407, 4814

Least Common Multiple of 4809 and 4814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4809 and 4814, than apply into the LCM equation.

GCF(4809,4814) = 1
LCM(4809,4814) = ( 4809 × 4814) / 1
LCM(4809,4814) = 23150526 / 1
LCM(4809,4814) = 23150526

Properties of LCM 4809 and 4814

(i) The LCM of 4814 and 4809 is associative

LCM of 4809 and 4814 = LCM of 4814 and 4809

Related Least Common Multiples of 4809

Related Least Common Multiples of 4814

Frequently Asked Questions on LCM of 4809 and 4814

1. What is the LCM of 4809 and 4814?

Answer: LCM of 4809 and 4814 is 23150526.

2. What are the Factors of 4809?

Answer: Factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809. There are 8 integers that are factors of 4809. The greatest factor of 4809 is 4809.

3. What are the Factors of 4814?

Answer: Factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814. There are 8 integers that are factors of 4814. The greatest factor of 4814 is 4814.

4. How to Find the LCM of 4809 and 4814?

Answer:

Least Common Multiple of 4809 and 4814 = 23150526

Step 1: Find the prime factorization of 4809

4809 = 3 x 7 x 229

Step 2: Find the prime factorization of 4814

4814 = 2 x 29 x 83

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

LCM = 23150526 = 2 x 3 x 7 x 29 x 83 x 229

Step 4: Therefore, the least common multiple of 4809 and 4814 is 23150526.