Least Common Multiple of 4580 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 4580 and 4585 the smallest integer that is 4199860 that is divisible by both numbers.

Least Common Multiple (LCM) of 4580 and 4585 is 4199860.

LCM(4580,4585) = 4199860

LCM of 4580 and 4585

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

LCM of:
and

Least Common Multiple of 4580 and 4585

LCM of 4580 and 4585 is 4199860

Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4585. First we will calculate the prime factors of 4580 and 4585.

Prime Factorization of 4580


2 4580
2 2290
5 1145
229 229
1

Prime factors of 4580 are 2, 5,229. Prime factorization of 4580 in exponential form is:

4580 = 22×51×2291

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 4580 and 4585.

LCM(4580,4585) = 22×51×71×1311×2291
LCM(4580,4585) = 4199860

Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580

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 4580 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 4580 and 4585, than apply into the LCM equation.

GCF(4580,4585) = 5
LCM(4580,4585) = ( 4580 × 4585) / 5
LCM(4580,4585) = 20999300 / 5
LCM(4580,4585) = 4199860

Properties of LCM 4580 and 4585

(i) The LCM of 4585 and 4580 is associative

LCM of 4580 and 4585 = LCM of 4585 and 4580

Related Least Common Multiples of 4580

Related Least Common Multiples of 4585

Frequently Asked Questions on LCM of 4580 and 4585

1. What is the LCM of 4580 and 4585?

Answer: LCM of 4580 and 4585 is 4199860.

2. What are the Factors of 4580?

Answer: Factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580. There are 12 integers that are factors of 4580. The greatest factor of 4580 is 4580.

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 4580 and 4585?

Answer:

Least Common Multiple of 4580 and 4585 = 4199860

Step 1: Find the prime factorization of 4580

4580 = 2 x 2 x 5 x 229

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 = 4199860 = 2 x 2 x 5 x 7 x 131 x 229

Step 4: Therefore, the least common multiple of 4580 and 4585 is 4199860.