Least Common Multiple of 4809 and 4815

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 4815 the smallest integer that is 7718445 that is divisible by both numbers.

Least Common Multiple (LCM) of 4809 and 4815 is 7718445.

LCM(4809,4815) = 7718445

LCM of 4809 and 4815

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

LCM of:
and

Least Common Multiple of 4809 and 4815

LCM of 4809 and 4815 is 7718445

Least common multiple can be found by multiplying the highest exponent prime factors of 4809 and 4815. First we will calculate the prime factors of 4809 and 4815.

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 4815


3 4815
3 1605
5 535
107 107
1

Prime factors of 4815 are 3, 5,107. Prime factorization of 4815 in exponential form is:

4815 = 32×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4809 and 4815.

LCM(4809,4815) = 32×51×71×1071×2291
LCM(4809,4815) = 7718445

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 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815

Least Common Multiple of 4809 and 4815 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 4815, than apply into the LCM equation.

GCF(4809,4815) = 3
LCM(4809,4815) = ( 4809 × 4815) / 3
LCM(4809,4815) = 23155335 / 3
LCM(4809,4815) = 7718445

Properties of LCM 4809 and 4815

(i) The LCM of 4815 and 4809 is associative

LCM of 4809 and 4815 = LCM of 4815 and 4809

Related Least Common Multiples of 4809

Related Least Common Multiples of 4815

Frequently Asked Questions on LCM of 4809 and 4815

1. What is the LCM of 4809 and 4815?

Answer: LCM of 4809 and 4815 is 7718445.

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 4815?

Answer: Factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815. There are 12 integers that are factors of 4815. The greatest factor of 4815 is 4815.

4. How to Find the LCM of 4809 and 4815?

Answer:

Least Common Multiple of 4809 and 4815 = 7718445

Step 1: Find the prime factorization of 4809

4809 = 3 x 7 x 229

Step 2: Find the prime factorization of 4815

4815 = 3 x 3 x 5 x 107

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

LCM = 7718445 = 3 x 3 x 5 x 7 x 107 x 229

Step 4: Therefore, the least common multiple of 4809 and 4815 is 7718445.