Least Common Multiple of 4803 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 4803 and 4811 the smallest integer that is 23107233 that is divisible by both numbers.

Least Common Multiple (LCM) of 4803 and 4811 is 23107233.

LCM(4803,4811) = 23107233

LCM of 4803 and 4811

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

LCM of:
and

Least Common Multiple of 4803 and 4811

LCM of 4803 and 4811 is 23107233

Least common multiple can be found by multiplying the highest exponent prime factors of 4803 and 4811. First we will calculate the prime factors of 4803 and 4811.

Prime Factorization of 4803


3 4803
1601 1601
1

Prime factors of 4803 are 3,1601. Prime factorization of 4803 in exponential form is:

4803 = 31×16011

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 4803 and 4811.

LCM(4803,4811) = 31×171×2831×16011
LCM(4803,4811) = 23107233

Factors of 4803

List of positive integer factors of 4803 that divides 4803 without a remainder.

1, 3, 1601, 4803

Factors of 4811

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

1, 17, 283, 4811

Least Common Multiple of 4803 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 4803 and 4811, than apply into the LCM equation.

GCF(4803,4811) = 1
LCM(4803,4811) = ( 4803 × 4811) / 1
LCM(4803,4811) = 23107233 / 1
LCM(4803,4811) = 23107233

Properties of LCM 4803 and 4811

(i) The LCM of 4811 and 4803 is associative

LCM of 4803 and 4811 = LCM of 4811 and 4803

Related Least Common Multiples of 4803

Related Least Common Multiples of 4811

Frequently Asked Questions on LCM of 4803 and 4811

1. What is the LCM of 4803 and 4811?

Answer: LCM of 4803 and 4811 is 23107233.

2. What are the Factors of 4803?

Answer: Factors of 4803 are 1, 3, 1601, 4803. There are 4 integers that are factors of 4803. The greatest factor of 4803 is 4803.

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 4803 and 4811?

Answer:

Least Common Multiple of 4803 and 4811 = 23107233

Step 1: Find the prime factorization of 4803

4803 = 3 x 1601

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 = 23107233 = 3 x 17 x 283 x 1601

Step 4: Therefore, the least common multiple of 4803 and 4811 is 23107233.