Least Common Multiple of 4827 and 4833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4827 and 4833 the smallest integer that is 7776297 that is divisible by both numbers.

Least Common Multiple (LCM) of 4827 and 4833 is 7776297.

LCM(4827,4833) = 7776297

LCM of 4827 and 4833

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

LCM of:
and

Least Common Multiple of 4827 and 4833

LCM of 4827 and 4833 is 7776297

Least common multiple can be found by multiplying the highest exponent prime factors of 4827 and 4833. First we will calculate the prime factors of 4827 and 4833.

Prime Factorization of 4827


3 4827
1609 1609
1

Prime factors of 4827 are 3,1609. Prime factorization of 4827 in exponential form is:

4827 = 31×16091

Prime Factorization of 4833


3 4833
3 1611
3 537
179 179
1

Prime factors of 4833 are 3,179. Prime factorization of 4833 in exponential form is:

4833 = 33×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4827 and 4833.

LCM(4827,4833) = 33×1791×16091
LCM(4827,4833) = 7776297

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1, 3, 1609, 4827

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1, 3, 9, 27, 179, 537, 1611, 4833

Least Common Multiple of 4827 and 4833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4827 and 4833, than apply into the LCM equation.

GCF(4827,4833) = 3
LCM(4827,4833) = ( 4827 × 4833) / 3
LCM(4827,4833) = 23328891 / 3
LCM(4827,4833) = 7776297

Properties of LCM 4827 and 4833

(i) The LCM of 4833 and 4827 is associative

LCM of 4827 and 4833 = LCM of 4833 and 4827

Related Least Common Multiples of 4827

Related Least Common Multiples of 4833

Frequently Asked Questions on LCM of 4827 and 4833

1. What is the LCM of 4827 and 4833?

Answer: LCM of 4827 and 4833 is 7776297.

2. What are the Factors of 4827?

Answer: Factors of 4827 are 1, 3, 1609, 4827. There are 4 integers that are factors of 4827. The greatest factor of 4827 is 4827.

3. What are the Factors of 4833?

Answer: Factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833. There are 8 integers that are factors of 4833. The greatest factor of 4833 is 4833.

4. How to Find the LCM of 4827 and 4833?

Answer:

Least Common Multiple of 4827 and 4833 = 7776297

Step 1: Find the prime factorization of 4827

4827 = 3 x 1609

Step 2: Find the prime factorization of 4833

4833 = 3 x 3 x 3 x 179

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

LCM = 7776297 = 3 x 3 x 3 x 179 x 1609

Step 4: Therefore, the least common multiple of 4827 and 4833 is 7776297.