Least Common Multiple of 4580 and 4586

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 4586 the smallest integer that is 10501940 that is divisible by both numbers.

Least Common Multiple (LCM) of 4580 and 4586 is 10501940.

LCM(4580,4586) = 10501940

LCM of 4580 and 4586

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

LCM of:
and

Least Common Multiple of 4580 and 4586

LCM of 4580 and 4586 is 10501940

Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4586. First we will calculate the prime factors of 4580 and 4586.

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 4586


2 4586
2293 2293
1

Prime factors of 4586 are 2,2293. Prime factorization of 4586 in exponential form is:

4586 = 21×22931

Now multiplying the highest exponent prime factors to calculate the LCM of 4580 and 4586.

LCM(4580,4586) = 22×51×2291×22931
LCM(4580,4586) = 10501940

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 4586

List of positive integer factors of 4586 that divides 4586 without a remainder.

1, 2, 2293, 4586

Least Common Multiple of 4580 and 4586 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 4586, than apply into the LCM equation.

GCF(4580,4586) = 2
LCM(4580,4586) = ( 4580 × 4586) / 2
LCM(4580,4586) = 21003880 / 2
LCM(4580,4586) = 10501940

Properties of LCM 4580 and 4586

(i) The LCM of 4586 and 4580 is associative

LCM of 4580 and 4586 = LCM of 4586 and 4580

Related Least Common Multiples of 4580

Related Least Common Multiples of 4586

Frequently Asked Questions on LCM of 4580 and 4586

1. What is the LCM of 4580 and 4586?

Answer: LCM of 4580 and 4586 is 10501940.

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 4586?

Answer: Factors of 4586 are 1, 2, 2293, 4586. There are 4 integers that are factors of 4586. The greatest factor of 4586 is 4586.

4. How to Find the LCM of 4580 and 4586?

Answer:

Least Common Multiple of 4580 and 4586 = 10501940

Step 1: Find the prime factorization of 4580

4580 = 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 4586

4586 = 2 x 2293

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

LCM = 10501940 = 2 x 2 x 5 x 229 x 2293

Step 4: Therefore, the least common multiple of 4580 and 4586 is 10501940.