Least Common Multiple of 4814 and 4818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4814 and 4818 the smallest integer that is 11596926 that is divisible by both numbers.

Least Common Multiple (LCM) of 4814 and 4818 is 11596926.

LCM(4814,4818) = 11596926

LCM of 4814 and 4818

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

LCM of:
and

Least Common Multiple of 4814 and 4818

LCM of 4814 and 4818 is 11596926

Least common multiple can be found by multiplying the highest exponent prime factors of 4814 and 4818. First we will calculate the prime factors of 4814 and 4818.

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

Prime Factorization of 4818


2 4818
3 2409
11 803
73 73
1

Prime factors of 4818 are 2, 3, 11,73. Prime factorization of 4818 in exponential form is:

4818 = 21×31×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4814 and 4818.

LCM(4814,4818) = 21×31×111×291×731×831
LCM(4814,4818) = 11596926

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1, 2, 29, 58, 83, 166, 2407, 4814

Factors of 4818

List of positive integer factors of 4818 that divides 4818 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818

Least Common Multiple of 4814 and 4818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4814 and 4818, than apply into the LCM equation.

GCF(4814,4818) = 2
LCM(4814,4818) = ( 4814 × 4818) / 2
LCM(4814,4818) = 23193852 / 2
LCM(4814,4818) = 11596926

Properties of LCM 4814 and 4818

(i) The LCM of 4818 and 4814 is associative

LCM of 4814 and 4818 = LCM of 4818 and 4814

Related Least Common Multiples of 4814

Related Least Common Multiples of 4818

Frequently Asked Questions on LCM of 4814 and 4818

1. What is the LCM of 4814 and 4818?

Answer: LCM of 4814 and 4818 is 11596926.

2. 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.

3. What are the Factors of 4818?

Answer: Factors of 4818 are 1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818. There are 16 integers that are factors of 4818. The greatest factor of 4818 is 4818.

4. How to Find the LCM of 4814 and 4818?

Answer:

Least Common Multiple of 4814 and 4818 = 11596926

Step 1: Find the prime factorization of 4814

4814 = 2 x 29 x 83

Step 2: Find the prime factorization of 4818

4818 = 2 x 3 x 11 x 73

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

LCM = 11596926 = 2 x 3 x 11 x 29 x 73 x 83

Step 4: Therefore, the least common multiple of 4814 and 4818 is 11596926.