Least Common Multiple of 4800 and 4805

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 4805 the smallest integer that is 4612800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4800 and 4805 is 4612800.

LCM(4800,4805) = 4612800

LCM of 4800 and 4805

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

LCM of:
and

Least Common Multiple of 4800 and 4805

LCM of 4800 and 4805 is 4612800

Least common multiple can be found by multiplying the highest exponent prime factors of 4800 and 4805. First we will calculate the prime factors of 4800 and 4805.

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 4805


5 4805
31 961
31 31
1

Prime factors of 4805 are 5,31. Prime factorization of 4805 in exponential form is:

4805 = 51×312

Now multiplying the highest exponent prime factors to calculate the LCM of 4800 and 4805.

LCM(4800,4805) = 26×31×52×312
LCM(4800,4805) = 4612800

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 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1, 5, 31, 155, 961, 4805

Least Common Multiple of 4800 and 4805 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 4805, than apply into the LCM equation.

GCF(4800,4805) = 5
LCM(4800,4805) = ( 4800 × 4805) / 5
LCM(4800,4805) = 23064000 / 5
LCM(4800,4805) = 4612800

Properties of LCM 4800 and 4805

(i) The LCM of 4805 and 4800 is associative

LCM of 4800 and 4805 = LCM of 4805 and 4800

Related Least Common Multiples of 4800

Related Least Common Multiples of 4805

Frequently Asked Questions on LCM of 4800 and 4805

1. What is the LCM of 4800 and 4805?

Answer: LCM of 4800 and 4805 is 4612800.

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 4805?

Answer: Factors of 4805 are 1, 5, 31, 155, 961, 4805. There are 6 integers that are factors of 4805. The greatest factor of 4805 is 4805.

4. How to Find the LCM of 4800 and 4805?

Answer:

Least Common Multiple of 4800 and 4805 = 4612800

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 4805

4805 = 5 x 31 x 31

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

LCM = 4612800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31 x 31

Step 4: Therefore, the least common multiple of 4800 and 4805 is 4612800.