Least Common Multiple of 3577 and 3582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3577 and 3582 the smallest integer that is 12812814 that is divisible by both numbers.

Least Common Multiple (LCM) of 3577 and 3582 is 12812814.

LCM(3577,3582) = 12812814

LCM of 3577 and 3582

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

LCM of:
and

Least Common Multiple of 3577 and 3582

LCM of 3577 and 3582 is 12812814

Least common multiple can be found by multiplying the highest exponent prime factors of 3577 and 3582. First we will calculate the prime factors of 3577 and 3582.

Prime Factorization of 3577


7 3577
7 511
73 73
1

Prime factors of 3577 are 7,73. Prime factorization of 3577 in exponential form is:

3577 = 72×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3577 and 3582.

LCM(3577,3582) = 21×32×72×731×1991
LCM(3577,3582) = 12812814

Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1, 7, 49, 73, 511, 3577

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

Least Common Multiple of 3577 and 3582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3577 and 3582, than apply into the LCM equation.

GCF(3577,3582) = 1
LCM(3577,3582) = ( 3577 × 3582) / 1
LCM(3577,3582) = 12812814 / 1
LCM(3577,3582) = 12812814

Properties of LCM 3577 and 3582

(i) The LCM of 3582 and 3577 is associative

LCM of 3577 and 3582 = LCM of 3582 and 3577

Related Least Common Multiples of 3577

Related Least Common Multiples of 3582

Frequently Asked Questions on LCM of 3577 and 3582

1. What is the LCM of 3577 and 3582?

Answer: LCM of 3577 and 3582 is 12812814.

2. What are the Factors of 3577?

Answer: Factors of 3577 are 1, 7, 49, 73, 511, 3577. There are 6 integers that are factors of 3577. The greatest factor of 3577 is 3577.

3. 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.

4. How to Find the LCM of 3577 and 3582?

Answer:

Least Common Multiple of 3577 and 3582 = 12812814

Step 1: Find the prime factorization of 3577

3577 = 7 x 7 x 73

Step 2: Find the prime factorization of 3582

3582 = 2 x 3 x 3 x 199

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

LCM = 12812814 = 2 x 3 x 3 x 7 x 7 x 73 x 199

Step 4: Therefore, the least common multiple of 3577 and 3582 is 12812814.