Least Common Multiple of 4579 and 4585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4579 and 4585 the smallest integer that is 20994715 that is divisible by both numbers.

Least Common Multiple (LCM) of 4579 and 4585 is 20994715.

LCM(4579,4585) = 20994715

LCM of 4579 and 4585

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

LCM of:
and

Least Common Multiple of 4579 and 4585

LCM of 4579 and 4585 is 20994715

Least common multiple can be found by multiplying the highest exponent prime factors of 4579 and 4585. First we will calculate the prime factors of 4579 and 4585.

Prime Factorization of 4579


19 4579
241 241
1

Prime factors of 4579 are 19,241. Prime factorization of 4579 in exponential form is:

4579 = 191×2411

Prime Factorization of 4585


5 4585
7 917
131 131
1

Prime factors of 4585 are 5, 7,131. Prime factorization of 4585 in exponential form is:

4585 = 51×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4579 and 4585.

LCM(4579,4585) = 51×71×191×1311×2411
LCM(4579,4585) = 20994715

Factors of 4579

List of positive integer factors of 4579 that divides 4579 without a remainder.

1, 19, 241, 4579

Factors of 4585

List of positive integer factors of 4585 that divides 4585 without a remainder.

1, 5, 7, 35, 131, 655, 917, 4585

Least Common Multiple of 4579 and 4585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4579 and 4585, than apply into the LCM equation.

GCF(4579,4585) = 1
LCM(4579,4585) = ( 4579 × 4585) / 1
LCM(4579,4585) = 20994715 / 1
LCM(4579,4585) = 20994715

Properties of LCM 4579 and 4585

(i) The LCM of 4585 and 4579 is associative

LCM of 4579 and 4585 = LCM of 4585 and 4579

Frequently Asked Questions on LCM of 4579 and 4585

1. What is the LCM of 4579 and 4585?

Answer: LCM of 4579 and 4585 is 20994715.

2. What are the Factors of 4579?

Answer: Factors of 4579 are 1, 19, 241, 4579. There are 4 integers that are factors of 4579. The greatest factor of 4579 is 4579.

3. What are the Factors of 4585?

Answer: Factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585. There are 8 integers that are factors of 4585. The greatest factor of 4585 is 4585.

4. How to Find the LCM of 4579 and 4585?

Answer:

Least Common Multiple of 4579 and 4585 = 20994715

Step 1: Find the prime factorization of 4579

4579 = 19 x 241

Step 2: Find the prime factorization of 4585

4585 = 5 x 7 x 131

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

LCM = 20994715 = 5 x 7 x 19 x 131 x 241

Step 4: Therefore, the least common multiple of 4579 and 4585 is 20994715.