Least Common Multiple of 3582 and 3588

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 3588 the smallest integer that is 2142036 that is divisible by both numbers.

Least Common Multiple (LCM) of 3582 and 3588 is 2142036.

LCM(3582,3588) = 2142036

LCM of 3582 and 3588

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

LCM of:
and

Least Common Multiple of 3582 and 3588

LCM of 3582 and 3588 is 2142036

Least common multiple can be found by multiplying the highest exponent prime factors of 3582 and 3588. First we will calculate the prime factors of 3582 and 3588.

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 3588


2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 3588 are 2, 3, 13,23. Prime factorization of 3588 in exponential form is:

3588 = 22×31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3582 and 3588.

LCM(3582,3588) = 22×32×131×231×1991
LCM(3582,3588) = 2142036

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 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588

Least Common Multiple of 3582 and 3588 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 3588, than apply into the LCM equation.

GCF(3582,3588) = 6
LCM(3582,3588) = ( 3582 × 3588) / 6
LCM(3582,3588) = 12852216 / 6
LCM(3582,3588) = 2142036

Properties of LCM 3582 and 3588

(i) The LCM of 3588 and 3582 is associative

LCM of 3582 and 3588 = LCM of 3588 and 3582

Related Least Common Multiples of 3582

Related Least Common Multiples of 3588

Frequently Asked Questions on LCM of 3582 and 3588

1. What is the LCM of 3582 and 3588?

Answer: LCM of 3582 and 3588 is 2142036.

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 3588?

Answer: Factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. There are 24 integers that are factors of 3588. The greatest factor of 3588 is 3588.

4. How to Find the LCM of 3582 and 3588?

Answer:

Least Common Multiple of 3582 and 3588 = 2142036

Step 1: Find the prime factorization of 3582

3582 = 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 3588

3588 = 2 x 2 x 3 x 13 x 23

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

LCM = 2142036 = 2 x 2 x 3 x 3 x 13 x 23 x 199

Step 4: Therefore, the least common multiple of 3582 and 3588 is 2142036.