Least Common Multiple of 4772 and 4779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4772 and 4779 the smallest integer that is 22805388 that is divisible by both numbers.

Least Common Multiple (LCM) of 4772 and 4779 is 22805388.

LCM(4772,4779) = 22805388

LCM of 4772 and 4779

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

LCM of:
and

Least Common Multiple of 4772 and 4779

LCM of 4772 and 4779 is 22805388

Least common multiple can be found by multiplying the highest exponent prime factors of 4772 and 4779. First we will calculate the prime factors of 4772 and 4779.

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

Prime Factorization of 4779


3 4779
3 1593
3 531
3 177
59 59
1

Prime factors of 4779 are 3,59. Prime factorization of 4779 in exponential form is:

4779 = 34×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4772 and 4779.

LCM(4772,4779) = 22×34×591×11931
LCM(4772,4779) = 22805388

Factors of 4772

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

1, 2, 4, 1193, 2386, 4772

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779

Least Common Multiple of 4772 and 4779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4772 and 4779, than apply into the LCM equation.

GCF(4772,4779) = 1
LCM(4772,4779) = ( 4772 × 4779) / 1
LCM(4772,4779) = 22805388 / 1
LCM(4772,4779) = 22805388

Properties of LCM 4772 and 4779

(i) The LCM of 4779 and 4772 is associative

LCM of 4772 and 4779 = LCM of 4779 and 4772

Related Least Common Multiples of 4772

Related Least Common Multiples of 4779

Frequently Asked Questions on LCM of 4772 and 4779

1. What is the LCM of 4772 and 4779?

Answer: LCM of 4772 and 4779 is 22805388.

2. 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.

3. What are the Factors of 4779?

Answer: Factors of 4779 are 1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779. There are 10 integers that are factors of 4779. The greatest factor of 4779 is 4779.

4. How to Find the LCM of 4772 and 4779?

Answer:

Least Common Multiple of 4772 and 4779 = 22805388

Step 1: Find the prime factorization of 4772

4772 = 2 x 2 x 1193

Step 2: Find the prime factorization of 4779

4779 = 3 x 3 x 3 x 3 x 59

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

LCM = 22805388 = 2 x 2 x 3 x 3 x 3 x 3 x 59 x 1193

Step 4: Therefore, the least common multiple of 4772 and 4779 is 22805388.