Least Common Multiple of 3582 and 3583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3582 and 3583 the smallest integer that is 12834306 that is divisible by both numbers.

Least Common Multiple (LCM) of 3582 and 3583 is 12834306.

LCM(3582,3583) = 12834306

LCM of 3582 and 3583

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

LCM of:
and

Least Common Multiple of 3582 and 3583

LCM of 3582 and 3583 is 12834306

Least common multiple can be found by multiplying the highest exponent prime factors of 3582 and 3583. First we will calculate the prime factors of 3582 and 3583.

Prime Factorization of 3582


2 3582
3 1791
3 597
199 199
1

Prime factors of 3582 are 2, 3,199. Prime factorization of 3582 in exponential form is:

3582 = 21×32×1991

Prime Factorization of 3583


3583 3583
1

Prime factors of 3583 are 3583. Prime factorization of 3583 in exponential form is:

3583 = 35831

Now multiplying the highest exponent prime factors to calculate the LCM of 3582 and 3583.

LCM(3582,3583) = 21×32×1991×35831
LCM(3582,3583) = 12834306

Factors of 3582

List of positive integer factors of 3582 that divides 3582 without a remainder.

1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582

Factors of 3583

List of positive integer factors of 3583 that divides 3583 without a remainder.

1, 3583

Least Common Multiple of 3582 and 3583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3582 and 3583, than apply into the LCM equation.

GCF(3582,3583) = 1
LCM(3582,3583) = ( 3582 × 3583) / 1
LCM(3582,3583) = 12834306 / 1
LCM(3582,3583) = 12834306

Properties of LCM 3582 and 3583

(i) The LCM of 3583 and 3582 is associative

LCM of 3582 and 3583 = LCM of 3583 and 3582

Related Least Common Multiples of 3582

Related Least Common Multiples of 3583

Frequently Asked Questions on LCM of 3582 and 3583

1. What is the LCM of 3582 and 3583?

Answer: LCM of 3582 and 3583 is 12834306.

2. What are the Factors of 3582?

Answer: Factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582. There are 12 integers that are factors of 3582. The greatest factor of 3582 is 3582.

3. What are the Factors of 3583?

Answer: Factors of 3583 are 1, 3583. There are 2 integers that are factors of 3583. The greatest factor of 3583 is 3583.

4. How to Find the LCM of 3582 and 3583?

Answer:

Least Common Multiple of 3582 and 3583 = 12834306

Step 1: Find the prime factorization of 3582

3582 = 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 3583

3583 = 3583

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

LCM = 12834306 = 2 x 3 x 3 x 199 x 3583

Step 4: Therefore, the least common multiple of 3582 and 3583 is 12834306.