Least Common Multiple of 4800 and 4808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4800 and 4808 the smallest integer that is 2884800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4800 and 4808 is 2884800.

LCM(4800,4808) = 2884800

LCM of 4800 and 4808

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

LCM of:
and

Least Common Multiple of 4800 and 4808

LCM of 4800 and 4808 is 2884800

Least common multiple can be found by multiplying the highest exponent prime factors of 4800 and 4808. First we will calculate the prime factors of 4800 and 4808.

Prime Factorization of 4800


2 4800
2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 4800 are 2, 3,5. Prime factorization of 4800 in exponential form is:

4800 = 26×31×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4800 and 4808.

LCM(4800,4808) = 26×31×52×6011
LCM(4800,4808) = 2884800

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800

Factors of 4808

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

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

Least Common Multiple of 4800 and 4808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4800 and 4808, than apply into the LCM equation.

GCF(4800,4808) = 8
LCM(4800,4808) = ( 4800 × 4808) / 8
LCM(4800,4808) = 23078400 / 8
LCM(4800,4808) = 2884800

Properties of LCM 4800 and 4808

(i) The LCM of 4808 and 4800 is associative

LCM of 4800 and 4808 = LCM of 4808 and 4800

Related Least Common Multiples of 4800

Related Least Common Multiples of 4808

Frequently Asked Questions on LCM of 4800 and 4808

1. What is the LCM of 4800 and 4808?

Answer: LCM of 4800 and 4808 is 2884800.

2. What are the Factors of 4800?

Answer: Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800. There are 42 integers that are factors of 4800. The greatest factor of 4800 is 4800.

3. 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.

4. How to Find the LCM of 4800 and 4808?

Answer:

Least Common Multiple of 4800 and 4808 = 2884800

Step 1: Find the prime factorization of 4800

4800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 4808

4808 = 2 x 2 x 2 x 601

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

LCM = 2884800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 601

Step 4: Therefore, the least common multiple of 4800 and 4808 is 2884800.