Least Common Multiple of 4808 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 4808 and 4814 the smallest integer that is 11572856 that is divisible by both numbers.

Least Common Multiple (LCM) of 4808 and 4814 is 11572856.

LCM(4808,4814) = 11572856

LCM of 4808 and 4814

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

LCM of:
and

Least Common Multiple of 4808 and 4814

LCM of 4808 and 4814 is 11572856

Least common multiple can be found by multiplying the highest exponent prime factors of 4808 and 4814. First we will calculate the prime factors of 4808 and 4814.

Prime Factorization of 4808


2 4808
2 2404
2 1202
601 601
1

Prime factors of 4808 are 2,601. Prime factorization of 4808 in exponential form is:

4808 = 23×6011

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 4808 and 4814.

LCM(4808,4814) = 23×291×831×6011
LCM(4808,4814) = 11572856

Factors of 4808

List of positive integer factors of 4808 that divides 4808 without a remainder.

1, 2, 4, 8, 601, 1202, 2404, 4808

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 4808 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 4808 and 4814, than apply into the LCM equation.

GCF(4808,4814) = 2
LCM(4808,4814) = ( 4808 × 4814) / 2
LCM(4808,4814) = 23145712 / 2
LCM(4808,4814) = 11572856

Properties of LCM 4808 and 4814

(i) The LCM of 4814 and 4808 is associative

LCM of 4808 and 4814 = LCM of 4814 and 4808

Related Least Common Multiples of 4808

Related Least Common Multiples of 4814

Frequently Asked Questions on LCM of 4808 and 4814

1. What is the LCM of 4808 and 4814?

Answer: LCM of 4808 and 4814 is 11572856.

2. What are the Factors of 4808?

Answer: Factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808. There are 8 integers that are factors of 4808. The greatest factor of 4808 is 4808.

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 4808 and 4814?

Answer:

Least Common Multiple of 4808 and 4814 = 11572856

Step 1: Find the prime factorization of 4808

4808 = 2 x 2 x 2 x 601

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 = 11572856 = 2 x 2 x 2 x 29 x 83 x 601

Step 4: Therefore, the least common multiple of 4808 and 4814 is 11572856.