Least Common Multiple of 578 and 580

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 580 the smallest integer that is 167620 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 580 is 167620.

LCM(578,580) = 167620

LCM of 578 and 580

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

LCM of:
and

Least Common Multiple of 578 and 580

LCM of 578 and 580 is 167620

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 580. First we will calculate the prime factors of 578 and 580.

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 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2, 5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 578 and 580.

LCM(578,580) = 22×51×172×291
LCM(578,580) = 167620

Factors of 578

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

1, 2, 17, 34, 289, 578

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Least Common Multiple of 578 and 580 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 580, than apply into the LCM equation.

GCF(578,580) = 2
LCM(578,580) = ( 578 × 580) / 2
LCM(578,580) = 335240 / 2
LCM(578,580) = 167620

Properties of LCM 578 and 580

(i) The LCM of 580 and 578 is associative

LCM of 578 and 580 = LCM of 580 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 578 and 580

1. What is the LCM of 578 and 580?

Answer: LCM of 578 and 580 is 167620.

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 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

4. How to Find the LCM of 578 and 580?

Answer:

Least Common Multiple of 578 and 580 = 167620

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 2: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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

LCM = 167620 = 2 x 2 x 5 x 17 x 17 x 29

Step 4: Therefore, the least common multiple of 578 and 580 is 167620.