Least Common Multiple of 4768 and 4774

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 4774 the smallest integer that is 11381216 that is divisible by both numbers.

Least Common Multiple (LCM) of 4768 and 4774 is 11381216.

LCM(4768,4774) = 11381216

LCM of 4768 and 4774

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

LCM of:
and

Least Common Multiple of 4768 and 4774

LCM of 4768 and 4774 is 11381216

Least common multiple can be found by multiplying the highest exponent prime factors of 4768 and 4774. First we will calculate the prime factors of 4768 and 4774.

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 4774


2 4774
7 2387
11 341
31 31
1

Prime factors of 4774 are 2, 7, 11,31. Prime factorization of 4774 in exponential form is:

4774 = 21×71×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4768 and 4774.

LCM(4768,4774) = 25×71×111×311×1491
LCM(4768,4774) = 11381216

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 4774

List of positive integer factors of 4774 that divides 4774 without a remainder.

1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774

Least Common Multiple of 4768 and 4774 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 4774, than apply into the LCM equation.

GCF(4768,4774) = 2
LCM(4768,4774) = ( 4768 × 4774) / 2
LCM(4768,4774) = 22762432 / 2
LCM(4768,4774) = 11381216

Properties of LCM 4768 and 4774

(i) The LCM of 4774 and 4768 is associative

LCM of 4768 and 4774 = LCM of 4774 and 4768

Related Least Common Multiples of 4768

Related Least Common Multiples of 4774

Frequently Asked Questions on LCM of 4768 and 4774

1. What is the LCM of 4768 and 4774?

Answer: LCM of 4768 and 4774 is 11381216.

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 4774?

Answer: Factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774. There are 16 integers that are factors of 4774. The greatest factor of 4774 is 4774.

4. How to Find the LCM of 4768 and 4774?

Answer:

Least Common Multiple of 4768 and 4774 = 11381216

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 4774

4774 = 2 x 7 x 11 x 31

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

LCM = 11381216 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 31 x 149

Step 4: Therefore, the least common multiple of 4768 and 4774 is 11381216.