Least Common Multiple of 4800 and 4806

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 4806 the smallest integer that is 3844800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4800 and 4806 is 3844800.

LCM(4800,4806) = 3844800

LCM of 4800 and 4806

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

LCM of:
and

Least Common Multiple of 4800 and 4806

LCM of 4800 and 4806 is 3844800

Least common multiple can be found by multiplying the highest exponent prime factors of 4800 and 4806. First we will calculate the prime factors of 4800 and 4806.

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 4806


2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 4806 are 2, 3,89. Prime factorization of 4806 in exponential form is:

4806 = 21×33×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4800 and 4806.

LCM(4800,4806) = 26×33×52×891
LCM(4800,4806) = 3844800

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 4806

List of positive integer factors of 4806 that divides 4806 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806

Least Common Multiple of 4800 and 4806 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 4806, than apply into the LCM equation.

GCF(4800,4806) = 6
LCM(4800,4806) = ( 4800 × 4806) / 6
LCM(4800,4806) = 23068800 / 6
LCM(4800,4806) = 3844800

Properties of LCM 4800 and 4806

(i) The LCM of 4806 and 4800 is associative

LCM of 4800 and 4806 = LCM of 4806 and 4800

Related Least Common Multiples of 4800

Related Least Common Multiples of 4806

Frequently Asked Questions on LCM of 4800 and 4806

1. What is the LCM of 4800 and 4806?

Answer: LCM of 4800 and 4806 is 3844800.

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 4806?

Answer: Factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806. There are 16 integers that are factors of 4806. The greatest factor of 4806 is 4806.

4. How to Find the LCM of 4800 and 4806?

Answer:

Least Common Multiple of 4800 and 4806 = 3844800

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 4806

4806 = 2 x 3 x 3 x 3 x 89

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

LCM = 3844800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 89

Step 4: Therefore, the least common multiple of 4800 and 4806 is 3844800.