Least Common Multiple of 4768 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 4768 and 4773 the smallest integer that is 22757664 that is divisible by both numbers.

Least Common Multiple (LCM) of 4768 and 4773 is 22757664.

LCM(4768,4773) = 22757664

LCM of 4768 and 4773

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

LCM of:
and

Least Common Multiple of 4768 and 4773

LCM of 4768 and 4773 is 22757664

Least common multiple can be found by multiplying the highest exponent prime factors of 4768 and 4773. First we will calculate the prime factors of 4768 and 4773.

Prime Factorization of 4768


2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 4768 are 2,149. Prime factorization of 4768 in exponential form is:

4768 = 25×1491

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 4768 and 4773.

LCM(4768,4773) = 25×31×371×431×1491
LCM(4768,4773) = 22757664

Factors of 4768

List of positive integer factors of 4768 that divides 4768 without a remainder.

1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768

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 4768 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 4768 and 4773, than apply into the LCM equation.

GCF(4768,4773) = 1
LCM(4768,4773) = ( 4768 × 4773) / 1
LCM(4768,4773) = 22757664 / 1
LCM(4768,4773) = 22757664

Properties of LCM 4768 and 4773

(i) The LCM of 4773 and 4768 is associative

LCM of 4768 and 4773 = LCM of 4773 and 4768

Related Least Common Multiples of 4768

Related Least Common Multiples of 4773

Frequently Asked Questions on LCM of 4768 and 4773

1. What is the LCM of 4768 and 4773?

Answer: LCM of 4768 and 4773 is 22757664.

2. What are the Factors of 4768?

Answer: Factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768. There are 12 integers that are factors of 4768. The greatest factor of 4768 is 4768.

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 4768 and 4773?

Answer:

Least Common Multiple of 4768 and 4773 = 22757664

Step 1: Find the prime factorization of 4768

4768 = 2 x 2 x 2 x 2 x 2 x 149

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 = 22757664 = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 43 x 149

Step 4: Therefore, the least common multiple of 4768 and 4773 is 22757664.