Least Common Multiple of 578 and 583

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 583 the smallest integer that is 336974 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 583 is 336974.

LCM(578,583) = 336974

LCM of 578 and 583

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

LCM of:
and

Least Common Multiple of 578 and 583

LCM of 578 and 583 is 336974

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 583. First we will calculate the prime factors of 578 and 583.

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 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 578 and 583.

LCM(578,583) = 21×111×172×531
LCM(578,583) = 336974

Factors of 578

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

1, 2, 17, 34, 289, 578

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Least Common Multiple of 578 and 583 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 583, than apply into the LCM equation.

GCF(578,583) = 1
LCM(578,583) = ( 578 × 583) / 1
LCM(578,583) = 336974 / 1
LCM(578,583) = 336974

Properties of LCM 578 and 583

(i) The LCM of 583 and 578 is associative

LCM of 578 and 583 = LCM of 583 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 583

Frequently Asked Questions on LCM of 578 and 583

1. What is the LCM of 578 and 583?

Answer: LCM of 578 and 583 is 336974.

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 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

4. How to Find the LCM of 578 and 583?

Answer:

Least Common Multiple of 578 and 583 = 336974

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 2: Find the prime factorization of 583

583 = 11 x 53

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

LCM = 336974 = 2 x 11 x 17 x 17 x 53

Step 4: Therefore, the least common multiple of 578 and 583 is 336974.