Least Common Multiple of 4809 and 4816

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 4816 the smallest integer that is 3308592 that is divisible by both numbers.

Least Common Multiple (LCM) of 4809 and 4816 is 3308592.

LCM(4809,4816) = 3308592

LCM of 4809 and 4816

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

LCM of:
and

Least Common Multiple of 4809 and 4816

LCM of 4809 and 4816 is 3308592

Least common multiple can be found by multiplying the highest exponent prime factors of 4809 and 4816. First we will calculate the prime factors of 4809 and 4816.

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 4816


2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 4816 are 2, 7,43. Prime factorization of 4816 in exponential form is:

4816 = 24×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4809 and 4816.

LCM(4809,4816) = 24×31×71×431×2291
LCM(4809,4816) = 3308592

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 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816

Least Common Multiple of 4809 and 4816 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 4816, than apply into the LCM equation.

GCF(4809,4816) = 7
LCM(4809,4816) = ( 4809 × 4816) / 7
LCM(4809,4816) = 23160144 / 7
LCM(4809,4816) = 3308592

Properties of LCM 4809 and 4816

(i) The LCM of 4816 and 4809 is associative

LCM of 4809 and 4816 = LCM of 4816 and 4809

Related Least Common Multiples of 4809

Related Least Common Multiples of 4816

Frequently Asked Questions on LCM of 4809 and 4816

1. What is the LCM of 4809 and 4816?

Answer: LCM of 4809 and 4816 is 3308592.

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 4816?

Answer: Factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816. There are 20 integers that are factors of 4816. The greatest factor of 4816 is 4816.

4. How to Find the LCM of 4809 and 4816?

Answer:

Least Common Multiple of 4809 and 4816 = 3308592

Step 1: Find the prime factorization of 4809

4809 = 3 x 7 x 229

Step 2: Find the prime factorization of 4816

4816 = 2 x 2 x 2 x 2 x 7 x 43

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

LCM = 3308592 = 2 x 2 x 2 x 2 x 3 x 7 x 43 x 229

Step 4: Therefore, the least common multiple of 4809 and 4816 is 3308592.