Least Common Multiple of 4766 and 4773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4766 and 4773 the smallest integer that is 22748118 that is divisible by both numbers.

Least Common Multiple (LCM) of 4766 and 4773 is 22748118.

LCM(4766,4773) = 22748118

LCM of 4766 and 4773

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

LCM of:
and

Least Common Multiple of 4766 and 4773

LCM of 4766 and 4773 is 22748118

Least common multiple can be found by multiplying the highest exponent prime factors of 4766 and 4773. First we will calculate the prime factors of 4766 and 4773.

Prime Factorization of 4766


2 4766
2383 2383
1

Prime factors of 4766 are 2,2383. Prime factorization of 4766 in exponential form is:

4766 = 21×23831

Prime Factorization of 4773


3 4773
37 1591
43 43
1

Prime factors of 4773 are 3, 37,43. Prime factorization of 4773 in exponential form is:

4773 = 31×371×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4766 and 4773.

LCM(4766,4773) = 21×31×371×431×23831
LCM(4766,4773) = 22748118

Factors of 4766

List of positive integer factors of 4766 that divides 4766 without a remainder.

1, 2, 2383, 4766

Factors of 4773

List of positive integer factors of 4773 that divides 4773 without a remainder.

1, 3, 37, 43, 111, 129, 1591, 4773

Least Common Multiple of 4766 and 4773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4766 and 4773, than apply into the LCM equation.

GCF(4766,4773) = 1
LCM(4766,4773) = ( 4766 × 4773) / 1
LCM(4766,4773) = 22748118 / 1
LCM(4766,4773) = 22748118

Properties of LCM 4766 and 4773

(i) The LCM of 4773 and 4766 is associative

LCM of 4766 and 4773 = LCM of 4773 and 4766

Related Least Common Multiples of 4766

Related Least Common Multiples of 4773

Frequently Asked Questions on LCM of 4766 and 4773

1. What is the LCM of 4766 and 4773?

Answer: LCM of 4766 and 4773 is 22748118.

2. What are the Factors of 4766?

Answer: Factors of 4766 are 1, 2, 2383, 4766. There are 4 integers that are factors of 4766. The greatest factor of 4766 is 4766.

3. What are the Factors of 4773?

Answer: Factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773. There are 8 integers that are factors of 4773. The greatest factor of 4773 is 4773.

4. How to Find the LCM of 4766 and 4773?

Answer:

Least Common Multiple of 4766 and 4773 = 22748118

Step 1: Find the prime factorization of 4766

4766 = 2 x 2383

Step 2: Find the prime factorization of 4773

4773 = 3 x 37 x 43

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

LCM = 22748118 = 2 x 3 x 37 x 43 x 2383

Step 4: Therefore, the least common multiple of 4766 and 4773 is 22748118.