Least Common Multiple of 578 and 586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 578 and 586 the smallest integer that is 169354 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 586 is 169354.

LCM(578,586) = 169354

LCM of 578 and 586

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

LCM of:
and

Least Common Multiple of 578 and 586

LCM of 578 and 586 is 169354

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 586. First we will calculate the prime factors of 578 and 586.

Prime Factorization of 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

Prime Factorization of 586


2 586
293 293
1

Prime factors of 586 are 2,293. Prime factorization of 586 in exponential form is:

586 = 21×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 578 and 586.

LCM(578,586) = 21×172×2931
LCM(578,586) = 169354

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Least Common Multiple of 578 and 586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 578 and 586, than apply into the LCM equation.

GCF(578,586) = 2
LCM(578,586) = ( 578 × 586) / 2
LCM(578,586) = 338708 / 2
LCM(578,586) = 169354

Properties of LCM 578 and 586

(i) The LCM of 586 and 578 is associative

LCM of 578 and 586 = LCM of 586 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 586

Frequently Asked Questions on LCM of 578 and 586

1. What is the LCM of 578 and 586?

Answer: LCM of 578 and 586 is 169354.

2. What are the Factors of 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

3. What are the Factors of 586?

Answer: Factors of 586 are 1, 2, 293, 586. There are 4 integers that are factors of 586. The greatest factor of 586 is 586.

4. How to Find the LCM of 578 and 586?

Answer:

Least Common Multiple of 578 and 586 = 169354

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 2: Find the prime factorization of 586

586 = 2 x 293

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

LCM = 169354 = 2 x 17 x 17 x 293

Step 4: Therefore, the least common multiple of 578 and 586 is 169354.