Least Common Multiple of 3583 and 3587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3583 and 3587 the smallest integer that is 12852221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3583 and 3587 is 12852221.

LCM(3583,3587) = 12852221

LCM of 3583 and 3587

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

LCM of:
and

Least Common Multiple of 3583 and 3587

LCM of 3583 and 3587 is 12852221

Least common multiple can be found by multiplying the highest exponent prime factors of 3583 and 3587. First we will calculate the prime factors of 3583 and 3587.

Prime Factorization of 3583


3583 3583
1

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

3583 = 35831

Prime Factorization of 3587


17 3587
211 211
1

Prime factors of 3587 are 17,211. Prime factorization of 3587 in exponential form is:

3587 = 171×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3583 and 3587.

LCM(3583,3587) = 171×2111×35831
LCM(3583,3587) = 12852221

Factors of 3583

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

1, 3583

Factors of 3587

List of positive integer factors of 3587 that divides 3587 without a remainder.

1, 17, 211, 3587

Least Common Multiple of 3583 and 3587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3583 and 3587, than apply into the LCM equation.

GCF(3583,3587) = 1
LCM(3583,3587) = ( 3583 × 3587) / 1
LCM(3583,3587) = 12852221 / 1
LCM(3583,3587) = 12852221

Properties of LCM 3583 and 3587

(i) The LCM of 3587 and 3583 is associative

LCM of 3583 and 3587 = LCM of 3587 and 3583

Related Least Common Multiples of 3583

Related Least Common Multiples of 3587

Frequently Asked Questions on LCM of 3583 and 3587

1. What is the LCM of 3583 and 3587?

Answer: LCM of 3583 and 3587 is 12852221.

2. 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.

3. What are the Factors of 3587?

Answer: Factors of 3587 are 1, 17, 211, 3587. There are 4 integers that are factors of 3587. The greatest factor of 3587 is 3587.

4. How to Find the LCM of 3583 and 3587?

Answer:

Least Common Multiple of 3583 and 3587 = 12852221

Step 1: Find the prime factorization of 3583

3583 = 3583

Step 2: Find the prime factorization of 3587

3587 = 17 x 211

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

LCM = 12852221 = 17 x 211 x 3583

Step 4: Therefore, the least common multiple of 3583 and 3587 is 12852221.