Least Common Multiple of 3522 and 3529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3522 and 3529 the smallest integer that is 12429138 that is divisible by both numbers.

Least Common Multiple (LCM) of 3522 and 3529 is 12429138.

LCM(3522,3529) = 12429138

LCM of 3522 and 3529

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

LCM of:
and

Least Common Multiple of 3522 and 3529

LCM of 3522 and 3529 is 12429138

Least common multiple can be found by multiplying the highest exponent prime factors of 3522 and 3529. First we will calculate the prime factors of 3522 and 3529.

Prime Factorization of 3522


2 3522
3 1761
587 587
1

Prime factors of 3522 are 2, 3,587. Prime factorization of 3522 in exponential form is:

3522 = 21×31×5871

Prime Factorization of 3529


3529 3529
1

Prime factors of 3529 are 3529. Prime factorization of 3529 in exponential form is:

3529 = 35291

Now multiplying the highest exponent prime factors to calculate the LCM of 3522 and 3529.

LCM(3522,3529) = 21×31×5871×35291
LCM(3522,3529) = 12429138

Factors of 3522

List of positive integer factors of 3522 that divides 3522 without a remainder.

1, 2, 3, 6, 587, 1174, 1761, 3522

Factors of 3529

List of positive integer factors of 3529 that divides 3529 without a remainder.

1, 3529

Least Common Multiple of 3522 and 3529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3522 and 3529, than apply into the LCM equation.

GCF(3522,3529) = 1
LCM(3522,3529) = ( 3522 × 3529) / 1
LCM(3522,3529) = 12429138 / 1
LCM(3522,3529) = 12429138

Properties of LCM 3522 and 3529

(i) The LCM of 3529 and 3522 is associative

LCM of 3522 and 3529 = LCM of 3529 and 3522

Related Least Common Multiples of 3522

Related Least Common Multiples of 3529

Frequently Asked Questions on LCM of 3522 and 3529

1. What is the LCM of 3522 and 3529?

Answer: LCM of 3522 and 3529 is 12429138.

2. What are the Factors of 3522?

Answer: Factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522. There are 8 integers that are factors of 3522. The greatest factor of 3522 is 3522.

3. What are the Factors of 3529?

Answer: Factors of 3529 are 1, 3529. There are 2 integers that are factors of 3529. The greatest factor of 3529 is 3529.

4. How to Find the LCM of 3522 and 3529?

Answer:

Least Common Multiple of 3522 and 3529 = 12429138

Step 1: Find the prime factorization of 3522

3522 = 2 x 3 x 587

Step 2: Find the prime factorization of 3529

3529 = 3529

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

LCM = 12429138 = 2 x 3 x 587 x 3529

Step 4: Therefore, the least common multiple of 3522 and 3529 is 12429138.