Least Common Multiple of 4810 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 4810 and 4816 the smallest integer that is 11582480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4810 and 4816 is 11582480.

LCM(4810,4816) = 11582480

LCM of 4810 and 4816

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

LCM of:
and

Least Common Multiple of 4810 and 4816

LCM of 4810 and 4816 is 11582480

Least common multiple can be found by multiplying the highest exponent prime factors of 4810 and 4816. First we will calculate the prime factors of 4810 and 4816.

Prime Factorization of 4810


2 4810
5 2405
13 481
37 37
1

Prime factors of 4810 are 2, 5, 13,37. Prime factorization of 4810 in exponential form is:

4810 = 21×51×131×371

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 4810 and 4816.

LCM(4810,4816) = 24×51×71×131×371×431
LCM(4810,4816) = 11582480

Factors of 4810

List of positive integer factors of 4810 that divides 4810 without a remainder.

1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810

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 4810 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 4810 and 4816, than apply into the LCM equation.

GCF(4810,4816) = 2
LCM(4810,4816) = ( 4810 × 4816) / 2
LCM(4810,4816) = 23164960 / 2
LCM(4810,4816) = 11582480

Properties of LCM 4810 and 4816

(i) The LCM of 4816 and 4810 is associative

LCM of 4810 and 4816 = LCM of 4816 and 4810

Related Least Common Multiples of 4810

Related Least Common Multiples of 4816

Frequently Asked Questions on LCM of 4810 and 4816

1. What is the LCM of 4810 and 4816?

Answer: LCM of 4810 and 4816 is 11582480.

2. What are the Factors of 4810?

Answer: Factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810. There are 16 integers that are factors of 4810. The greatest factor of 4810 is 4810.

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 4810 and 4816?

Answer:

Least Common Multiple of 4810 and 4816 = 11582480

Step 1: Find the prime factorization of 4810

4810 = 2 x 5 x 13 x 37

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 = 11582480 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 37 x 43

Step 4: Therefore, the least common multiple of 4810 and 4816 is 11582480.