Least Common Multiple of 4775 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 4775 and 4779 the smallest integer that is 22819725 that is divisible by both numbers.

Least Common Multiple (LCM) of 4775 and 4779 is 22819725.

LCM(4775,4779) = 22819725

LCM of 4775 and 4779

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

LCM of:
and

Least Common Multiple of 4775 and 4779

LCM of 4775 and 4779 is 22819725

Least common multiple can be found by multiplying the highest exponent prime factors of 4775 and 4779. First we will calculate the prime factors of 4775 and 4779.

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

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 4775 and 4779.

LCM(4775,4779) = 34×52×591×1911
LCM(4775,4779) = 22819725

Factors of 4775

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

1, 5, 25, 191, 955, 4775

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 4775 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 4775 and 4779, than apply into the LCM equation.

GCF(4775,4779) = 1
LCM(4775,4779) = ( 4775 × 4779) / 1
LCM(4775,4779) = 22819725 / 1
LCM(4775,4779) = 22819725

Properties of LCM 4775 and 4779

(i) The LCM of 4779 and 4775 is associative

LCM of 4775 and 4779 = LCM of 4779 and 4775

Related Least Common Multiples of 4775

Related Least Common Multiples of 4779

Frequently Asked Questions on LCM of 4775 and 4779

1. What is the LCM of 4775 and 4779?

Answer: LCM of 4775 and 4779 is 22819725.

2. 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.

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 4775 and 4779?

Answer:

Least Common Multiple of 4775 and 4779 = 22819725

Step 1: Find the prime factorization of 4775

4775 = 5 x 5 x 191

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 = 22819725 = 3 x 3 x 3 x 3 x 5 x 5 x 59 x 191

Step 4: Therefore, the least common multiple of 4775 and 4779 is 22819725.