Least Common Multiple of 4779 and 4785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4779 and 4785 the smallest integer that is 7622505 that is divisible by both numbers.

Least Common Multiple (LCM) of 4779 and 4785 is 7622505.

LCM(4779,4785) = 7622505

LCM of 4779 and 4785

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

LCM of:
and

Least Common Multiple of 4779 and 4785

LCM of 4779 and 4785 is 7622505

Least common multiple can be found by multiplying the highest exponent prime factors of 4779 and 4785. First we will calculate the prime factors of 4779 and 4785.

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

Prime Factorization of 4785


3 4785
5 1595
11 319
29 29
1

Prime factors of 4785 are 3, 5, 11,29. Prime factorization of 4785 in exponential form is:

4785 = 31×51×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4779 and 4785.

LCM(4779,4785) = 34×51×111×291×591
LCM(4779,4785) = 7622505

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

Factors of 4785

List of positive integer factors of 4785 that divides 4785 without a remainder.

1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785

Least Common Multiple of 4779 and 4785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4779 and 4785, than apply into the LCM equation.

GCF(4779,4785) = 3
LCM(4779,4785) = ( 4779 × 4785) / 3
LCM(4779,4785) = 22867515 / 3
LCM(4779,4785) = 7622505

Properties of LCM 4779 and 4785

(i) The LCM of 4785 and 4779 is associative

LCM of 4779 and 4785 = LCM of 4785 and 4779

Related Least Common Multiples of 4779

Related Least Common Multiples of 4785

Frequently Asked Questions on LCM of 4779 and 4785

1. What is the LCM of 4779 and 4785?

Answer: LCM of 4779 and 4785 is 7622505.

2. 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.

3. What are the Factors of 4785?

Answer: Factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785. There are 16 integers that are factors of 4785. The greatest factor of 4785 is 4785.

4. How to Find the LCM of 4779 and 4785?

Answer:

Least Common Multiple of 4779 and 4785 = 7622505

Step 1: Find the prime factorization of 4779

4779 = 3 x 3 x 3 x 3 x 59

Step 2: Find the prime factorization of 4785

4785 = 3 x 5 x 11 x 29

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

LCM = 7622505 = 3 x 3 x 3 x 3 x 5 x 11 x 29 x 59

Step 4: Therefore, the least common multiple of 4779 and 4785 is 7622505.