Least Common Multiple of 3522 and 3530

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 3530 the smallest integer that is 6216330 that is divisible by both numbers.

Least Common Multiple (LCM) of 3522 and 3530 is 6216330.

LCM(3522,3530) = 6216330

LCM of 3522 and 3530

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

LCM of:
and

Least Common Multiple of 3522 and 3530

LCM of 3522 and 3530 is 6216330

Least common multiple can be found by multiplying the highest exponent prime factors of 3522 and 3530. First we will calculate the prime factors of 3522 and 3530.

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 3530


2 3530
5 1765
353 353
1

Prime factors of 3530 are 2, 5,353. Prime factorization of 3530 in exponential form is:

3530 = 21×51×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 3522 and 3530.

LCM(3522,3530) = 21×31×51×3531×5871
LCM(3522,3530) = 6216330

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 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1, 2, 5, 10, 353, 706, 1765, 3530

Least Common Multiple of 3522 and 3530 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 3530, than apply into the LCM equation.

GCF(3522,3530) = 2
LCM(3522,3530) = ( 3522 × 3530) / 2
LCM(3522,3530) = 12432660 / 2
LCM(3522,3530) = 6216330

Properties of LCM 3522 and 3530

(i) The LCM of 3530 and 3522 is associative

LCM of 3522 and 3530 = LCM of 3530 and 3522

Related Least Common Multiples of 3522

Related Least Common Multiples of 3530

Frequently Asked Questions on LCM of 3522 and 3530

1. What is the LCM of 3522 and 3530?

Answer: LCM of 3522 and 3530 is 6216330.

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 3530?

Answer: Factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530. There are 8 integers that are factors of 3530. The greatest factor of 3530 is 3530.

4. How to Find the LCM of 3522 and 3530?

Answer:

Least Common Multiple of 3522 and 3530 = 6216330

Step 1: Find the prime factorization of 3522

3522 = 2 x 3 x 587

Step 2: Find the prime factorization of 3530

3530 = 2 x 5 x 353

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

LCM = 6216330 = 2 x 3 x 5 x 353 x 587

Step 4: Therefore, the least common multiple of 3522 and 3530 is 6216330.