Least Common Multiple of 4783 and 4789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4783 and 4789 the smallest integer that is 22905787 that is divisible by both numbers.

Least Common Multiple (LCM) of 4783 and 4789 is 22905787.

LCM(4783,4789) = 22905787

LCM of 4783 and 4789

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

LCM of:
and

Least Common Multiple of 4783 and 4789

LCM of 4783 and 4789 is 22905787

Least common multiple can be found by multiplying the highest exponent prime factors of 4783 and 4789. First we will calculate the prime factors of 4783 and 4789.

Prime Factorization of 4783


4783 4783
1

Prime factors of 4783 are 4783. Prime factorization of 4783 in exponential form is:

4783 = 47831

Prime Factorization of 4789


4789 4789
1

Prime factors of 4789 are 4789. Prime factorization of 4789 in exponential form is:

4789 = 47891

Now multiplying the highest exponent prime factors to calculate the LCM of 4783 and 4789.

LCM(4783,4789) = 47831×47891
LCM(4783,4789) = 22905787

Factors of 4783

List of positive integer factors of 4783 that divides 4783 without a remainder.

1, 4783

Factors of 4789

List of positive integer factors of 4789 that divides 4789 without a remainder.

1, 4789

Least Common Multiple of 4783 and 4789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4783 and 4789, than apply into the LCM equation.

GCF(4783,4789) = 1
LCM(4783,4789) = ( 4783 × 4789) / 1
LCM(4783,4789) = 22905787 / 1
LCM(4783,4789) = 22905787

Properties of LCM 4783 and 4789

(i) The LCM of 4789 and 4783 is associative

LCM of 4783 and 4789 = LCM of 4789 and 4783

Related Least Common Multiples of 4783

Related Least Common Multiples of 4789

Frequently Asked Questions on LCM of 4783 and 4789

1. What is the LCM of 4783 and 4789?

Answer: LCM of 4783 and 4789 is 22905787.

2. What are the Factors of 4783?

Answer: Factors of 4783 are 1, 4783. There are 2 integers that are factors of 4783. The greatest factor of 4783 is 4783.

3. What are the Factors of 4789?

Answer: Factors of 4789 are 1, 4789. There are 2 integers that are factors of 4789. The greatest factor of 4789 is 4789.

4. How to Find the LCM of 4783 and 4789?

Answer:

Least Common Multiple of 4783 and 4789 = 22905787

Step 1: Find the prime factorization of 4783

4783 = 4783

Step 2: Find the prime factorization of 4789

4789 = 4789

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

LCM = 22905787 = 4783 x 4789

Step 4: Therefore, the least common multiple of 4783 and 4789 is 22905787.