Least Common Multiple of 4580 and 4587

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 4587 the smallest integer that is 21008460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4580 and 4587 is 21008460.

LCM(4580,4587) = 21008460

LCM of 4580 and 4587

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

LCM of:
and

Least Common Multiple of 4580 and 4587

LCM of 4580 and 4587 is 21008460

Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4587. First we will calculate the prime factors of 4580 and 4587.

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 4587


3 4587
11 1529
139 139
1

Prime factors of 4587 are 3, 11,139. Prime factorization of 4587 in exponential form is:

4587 = 31×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 4580 and 4587.

LCM(4580,4587) = 22×31×51×111×1391×2291
LCM(4580,4587) = 21008460

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 4587

List of positive integer factors of 4587 that divides 4587 without a remainder.

1, 3, 11, 33, 139, 417, 1529, 4587

Least Common Multiple of 4580 and 4587 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 4587, than apply into the LCM equation.

GCF(4580,4587) = 1
LCM(4580,4587) = ( 4580 × 4587) / 1
LCM(4580,4587) = 21008460 / 1
LCM(4580,4587) = 21008460

Properties of LCM 4580 and 4587

(i) The LCM of 4587 and 4580 is associative

LCM of 4580 and 4587 = LCM of 4587 and 4580

Related Least Common Multiples of 4580

Related Least Common Multiples of 4587

Frequently Asked Questions on LCM of 4580 and 4587

1. What is the LCM of 4580 and 4587?

Answer: LCM of 4580 and 4587 is 21008460.

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 4587?

Answer: Factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587. There are 8 integers that are factors of 4587. The greatest factor of 4587 is 4587.

4. How to Find the LCM of 4580 and 4587?

Answer:

Least Common Multiple of 4580 and 4587 = 21008460

Step 1: Find the prime factorization of 4580

4580 = 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 4587

4587 = 3 x 11 x 139

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

LCM = 21008460 = 2 x 2 x 3 x 5 x 11 x 139 x 229

Step 4: Therefore, the least common multiple of 4580 and 4587 is 21008460.