Least Common Multiple of 4768 and 4775

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 4775 the smallest integer that is 22767200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4768 and 4775 is 22767200.

LCM(4768,4775) = 22767200

LCM of 4768 and 4775

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

LCM of:
and

Least Common Multiple of 4768 and 4775

LCM of 4768 and 4775 is 22767200

Least common multiple can be found by multiplying the highest exponent prime factors of 4768 and 4775. First we will calculate the prime factors of 4768 and 4775.

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 4775


5 4775
5 955
191 191
1

Prime factors of 4775 are 5,191. Prime factorization of 4775 in exponential form is:

4775 = 52×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4768 and 4775.

LCM(4768,4775) = 25×52×1491×1911
LCM(4768,4775) = 22767200

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 4775

List of positive integer factors of 4775 that divides 4775 without a remainder.

1, 5, 25, 191, 955, 4775

Least Common Multiple of 4768 and 4775 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 4775, than apply into the LCM equation.

GCF(4768,4775) = 1
LCM(4768,4775) = ( 4768 × 4775) / 1
LCM(4768,4775) = 22767200 / 1
LCM(4768,4775) = 22767200

Properties of LCM 4768 and 4775

(i) The LCM of 4775 and 4768 is associative

LCM of 4768 and 4775 = LCM of 4775 and 4768

Related Least Common Multiples of 4768

Related Least Common Multiples of 4775

Frequently Asked Questions on LCM of 4768 and 4775

1. What is the LCM of 4768 and 4775?

Answer: LCM of 4768 and 4775 is 22767200.

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 4775?

Answer: Factors of 4775 are 1, 5, 25, 191, 955, 4775. There are 6 integers that are factors of 4775. The greatest factor of 4775 is 4775.

4. How to Find the LCM of 4768 and 4775?

Answer:

Least Common Multiple of 4768 and 4775 = 22767200

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 4775

4775 = 5 x 5 x 191

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

LCM = 22767200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 149 x 191

Step 4: Therefore, the least common multiple of 4768 and 4775 is 22767200.