Least Common Multiple of 4801 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 4801 and 4806 the smallest integer that is 23073606 that is divisible by both numbers.

Least Common Multiple (LCM) of 4801 and 4806 is 23073606.

LCM(4801,4806) = 23073606

LCM of 4801 and 4806

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

LCM of:
and

Least Common Multiple of 4801 and 4806

LCM of 4801 and 4806 is 23073606

Least common multiple can be found by multiplying the highest exponent prime factors of 4801 and 4806. First we will calculate the prime factors of 4801 and 4806.

Prime Factorization of 4801


4801 4801
1

Prime factors of 4801 are 4801. Prime factorization of 4801 in exponential form is:

4801 = 48011

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 4801 and 4806.

LCM(4801,4806) = 21×33×891×48011
LCM(4801,4806) = 23073606

Factors of 4801

List of positive integer factors of 4801 that divides 4801 without a remainder.

1, 4801

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 4801 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 4801 and 4806, than apply into the LCM equation.

GCF(4801,4806) = 1
LCM(4801,4806) = ( 4801 × 4806) / 1
LCM(4801,4806) = 23073606 / 1
LCM(4801,4806) = 23073606

Properties of LCM 4801 and 4806

(i) The LCM of 4806 and 4801 is associative

LCM of 4801 and 4806 = LCM of 4806 and 4801

Related Least Common Multiples of 4801

Related Least Common Multiples of 4806

Frequently Asked Questions on LCM of 4801 and 4806

1. What is the LCM of 4801 and 4806?

Answer: LCM of 4801 and 4806 is 23073606.

2. What are the Factors of 4801?

Answer: Factors of 4801 are 1, 4801. There are 2 integers that are factors of 4801. The greatest factor of 4801 is 4801.

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 4801 and 4806?

Answer:

Least Common Multiple of 4801 and 4806 = 23073606

Step 1: Find the prime factorization of 4801

4801 = 4801

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 = 23073606 = 2 x 3 x 3 x 3 x 89 x 4801

Step 4: Therefore, the least common multiple of 4801 and 4806 is 23073606.