Least Common Multiple of 3582 and 3586

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 3586 the smallest integer that is 6422526 that is divisible by both numbers.

Least Common Multiple (LCM) of 3582 and 3586 is 6422526.

LCM(3582,3586) = 6422526

LCM of 3582 and 3586

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

LCM of:
and

Least Common Multiple of 3582 and 3586

LCM of 3582 and 3586 is 6422526

Least common multiple can be found by multiplying the highest exponent prime factors of 3582 and 3586. First we will calculate the prime factors of 3582 and 3586.

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 3586


2 3586
11 1793
163 163
1

Prime factors of 3586 are 2, 11,163. Prime factorization of 3586 in exponential form is:

3586 = 21×111×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 3582 and 3586.

LCM(3582,3586) = 21×32×111×1631×1991
LCM(3582,3586) = 6422526

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 3586

List of positive integer factors of 3586 that divides 3586 without a remainder.

1, 2, 11, 22, 163, 326, 1793, 3586

Least Common Multiple of 3582 and 3586 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 3586, than apply into the LCM equation.

GCF(3582,3586) = 2
LCM(3582,3586) = ( 3582 × 3586) / 2
LCM(3582,3586) = 12845052 / 2
LCM(3582,3586) = 6422526

Properties of LCM 3582 and 3586

(i) The LCM of 3586 and 3582 is associative

LCM of 3582 and 3586 = LCM of 3586 and 3582

Related Least Common Multiples of 3582

Related Least Common Multiples of 3586

Frequently Asked Questions on LCM of 3582 and 3586

1. What is the LCM of 3582 and 3586?

Answer: LCM of 3582 and 3586 is 6422526.

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 3586?

Answer: Factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586. There are 8 integers that are factors of 3586. The greatest factor of 3586 is 3586.

4. How to Find the LCM of 3582 and 3586?

Answer:

Least Common Multiple of 3582 and 3586 = 6422526

Step 1: Find the prime factorization of 3582

3582 = 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 3586

3586 = 2 x 11 x 163

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

LCM = 6422526 = 2 x 3 x 3 x 11 x 163 x 199

Step 4: Therefore, the least common multiple of 3582 and 3586 is 6422526.