Least Common Multiple of 4801 and 4809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4801 and 4809 the smallest integer that is 23088009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4801 and 4809 is 23088009.

LCM(4801,4809) = 23088009

LCM of 4801 and 4809

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

LCM of:
and

Least Common Multiple of 4801 and 4809

LCM of 4801 and 4809 is 23088009

Least common multiple can be found by multiplying the highest exponent prime factors of 4801 and 4809. First we will calculate the prime factors of 4801 and 4809.

Prime Factorization of 4801


4801 4801
1

Prime factors of 4801 are 4801. Prime factorization of 4801 in exponential form is:

4801 = 48011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4801 and 4809.

LCM(4801,4809) = 31×71×2291×48011
LCM(4801,4809) = 23088009

Factors of 4801

List of positive integer factors of 4801 that divides 4801 without a remainder.

1, 4801

Factors of 4809

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

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

Least Common Multiple of 4801 and 4809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4801 and 4809, than apply into the LCM equation.

GCF(4801,4809) = 1
LCM(4801,4809) = ( 4801 × 4809) / 1
LCM(4801,4809) = 23088009 / 1
LCM(4801,4809) = 23088009

Properties of LCM 4801 and 4809

(i) The LCM of 4809 and 4801 is associative

LCM of 4801 and 4809 = LCM of 4809 and 4801

Related Least Common Multiples of 4801

Related Least Common Multiples of 4809

Frequently Asked Questions on LCM of 4801 and 4809

1. What is the LCM of 4801 and 4809?

Answer: LCM of 4801 and 4809 is 23088009.

2. What are the Factors of 4801?

Answer: Factors of 4801 are 1, 4801. There are 2 integers that are factors of 4801. The greatest factor of 4801 is 4801.

3. 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.

4. How to Find the LCM of 4801 and 4809?

Answer:

Least Common Multiple of 4801 and 4809 = 23088009

Step 1: Find the prime factorization of 4801

4801 = 4801

Step 2: Find the prime factorization of 4809

4809 = 3 x 7 x 229

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

LCM = 23088009 = 3 x 7 x 229 x 4801

Step 4: Therefore, the least common multiple of 4801 and 4809 is 23088009.