Least Common Multiple of 4810 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 4810 and 4814 the smallest integer that is 11577670 that is divisible by both numbers.

Least Common Multiple (LCM) of 4810 and 4814 is 11577670.

LCM(4810,4814) = 11577670

LCM of 4810 and 4814

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

LCM of:
and

Least Common Multiple of 4810 and 4814

LCM of 4810 and 4814 is 11577670

Least common multiple can be found by multiplying the highest exponent prime factors of 4810 and 4814. First we will calculate the prime factors of 4810 and 4814.

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 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 4810 and 4814.

LCM(4810,4814) = 21×51×131×291×371×831
LCM(4810,4814) = 11577670

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 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 4810 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 4810 and 4814, than apply into the LCM equation.

GCF(4810,4814) = 2
LCM(4810,4814) = ( 4810 × 4814) / 2
LCM(4810,4814) = 23155340 / 2
LCM(4810,4814) = 11577670

Properties of LCM 4810 and 4814

(i) The LCM of 4814 and 4810 is associative

LCM of 4810 and 4814 = LCM of 4814 and 4810

Related Least Common Multiples of 4810

Related Least Common Multiples of 4814

Frequently Asked Questions on LCM of 4810 and 4814

1. What is the LCM of 4810 and 4814?

Answer: LCM of 4810 and 4814 is 11577670.

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 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 4810 and 4814?

Answer:

Least Common Multiple of 4810 and 4814 = 11577670

Step 1: Find the prime factorization of 4810

4810 = 2 x 5 x 13 x 37

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 = 11577670 = 2 x 5 x 13 x 29 x 37 x 83

Step 4: Therefore, the least common multiple of 4810 and 4814 is 11577670.