Least Common Multiple of 4768 and 4772

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 4772 the smallest integer that is 5688224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4768 and 4772 is 5688224.

LCM(4768,4772) = 5688224

LCM of 4768 and 4772

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

LCM of:
and

Least Common Multiple of 4768 and 4772

LCM of 4768 and 4772 is 5688224

Least common multiple can be found by multiplying the highest exponent prime factors of 4768 and 4772. First we will calculate the prime factors of 4768 and 4772.

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 4772


2 4772
2 2386
1193 1193
1

Prime factors of 4772 are 2,1193. Prime factorization of 4772 in exponential form is:

4772 = 22×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 4768 and 4772.

LCM(4768,4772) = 25×1491×11931
LCM(4768,4772) = 5688224

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 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1, 2, 4, 1193, 2386, 4772

Least Common Multiple of 4768 and 4772 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 4772, than apply into the LCM equation.

GCF(4768,4772) = 4
LCM(4768,4772) = ( 4768 × 4772) / 4
LCM(4768,4772) = 22752896 / 4
LCM(4768,4772) = 5688224

Properties of LCM 4768 and 4772

(i) The LCM of 4772 and 4768 is associative

LCM of 4768 and 4772 = LCM of 4772 and 4768

Related Least Common Multiples of 4768

Related Least Common Multiples of 4772

Frequently Asked Questions on LCM of 4768 and 4772

1. What is the LCM of 4768 and 4772?

Answer: LCM of 4768 and 4772 is 5688224.

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 4772?

Answer: Factors of 4772 are 1, 2, 4, 1193, 2386, 4772. There are 6 integers that are factors of 4772. The greatest factor of 4772 is 4772.

4. How to Find the LCM of 4768 and 4772?

Answer:

Least Common Multiple of 4768 and 4772 = 5688224

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 4772

4772 = 2 x 2 x 1193

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

LCM = 5688224 = 2 x 2 x 2 x 2 x 2 x 149 x 1193

Step 4: Therefore, the least common multiple of 4768 and 4772 is 5688224.