Least Common Multiple of 4806 and 4811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4806 and 4811 the smallest integer that is 23121666 that is divisible by both numbers.

Least Common Multiple (LCM) of 4806 and 4811 is 23121666.

LCM(4806,4811) = 23121666

LCM of 4806 and 4811

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

LCM of:
and

Least Common Multiple of 4806 and 4811

LCM of 4806 and 4811 is 23121666

Least common multiple can be found by multiplying the highest exponent prime factors of 4806 and 4811. First we will calculate the prime factors of 4806 and 4811.

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

Prime Factorization of 4811


17 4811
283 283
1

Prime factors of 4811 are 17,283. Prime factorization of 4811 in exponential form is:

4811 = 171×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 4806 and 4811.

LCM(4806,4811) = 21×33×171×891×2831
LCM(4806,4811) = 23121666

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

Factors of 4811

List of positive integer factors of 4811 that divides 4811 without a remainder.

1, 17, 283, 4811

Least Common Multiple of 4806 and 4811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4806 and 4811, than apply into the LCM equation.

GCF(4806,4811) = 1
LCM(4806,4811) = ( 4806 × 4811) / 1
LCM(4806,4811) = 23121666 / 1
LCM(4806,4811) = 23121666

Properties of LCM 4806 and 4811

(i) The LCM of 4811 and 4806 is associative

LCM of 4806 and 4811 = LCM of 4811 and 4806

Related Least Common Multiples of 4806

Related Least Common Multiples of 4811

Frequently Asked Questions on LCM of 4806 and 4811

1. What is the LCM of 4806 and 4811?

Answer: LCM of 4806 and 4811 is 23121666.

2. 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.

3. What are the Factors of 4811?

Answer: Factors of 4811 are 1, 17, 283, 4811. There are 4 integers that are factors of 4811. The greatest factor of 4811 is 4811.

4. How to Find the LCM of 4806 and 4811?

Answer:

Least Common Multiple of 4806 and 4811 = 23121666

Step 1: Find the prime factorization of 4806

4806 = 2 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 4811

4811 = 17 x 283

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

LCM = 23121666 = 2 x 3 x 3 x 3 x 17 x 89 x 283

Step 4: Therefore, the least common multiple of 4806 and 4811 is 23121666.