Least Common Multiple of 3521 and 3527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3521 and 3527 the smallest integer that is 12418567 that is divisible by both numbers.

Least Common Multiple (LCM) of 3521 and 3527 is 12418567.

LCM(3521,3527) = 12418567

LCM of 3521 and 3527

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

LCM of:
and

Least Common Multiple of 3521 and 3527

LCM of 3521 and 3527 is 12418567

Least common multiple can be found by multiplying the highest exponent prime factors of 3521 and 3527. First we will calculate the prime factors of 3521 and 3527.

Prime Factorization of 3521


7 3521
503 503
1

Prime factors of 3521 are 7,503. Prime factorization of 3521 in exponential form is:

3521 = 71×5031

Prime Factorization of 3527


3527 3527
1

Prime factors of 3527 are 3527. Prime factorization of 3527 in exponential form is:

3527 = 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 3521 and 3527.

LCM(3521,3527) = 71×5031×35271
LCM(3521,3527) = 12418567

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1, 7, 503, 3521

Factors of 3527

List of positive integer factors of 3527 that divides 3527 without a remainder.

1, 3527

Least Common Multiple of 3521 and 3527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3521 and 3527, than apply into the LCM equation.

GCF(3521,3527) = 1
LCM(3521,3527) = ( 3521 × 3527) / 1
LCM(3521,3527) = 12418567 / 1
LCM(3521,3527) = 12418567

Properties of LCM 3521 and 3527

(i) The LCM of 3527 and 3521 is associative

LCM of 3521 and 3527 = LCM of 3527 and 3521

Related Least Common Multiples of 3521

Related Least Common Multiples of 3527

Frequently Asked Questions on LCM of 3521 and 3527

1. What is the LCM of 3521 and 3527?

Answer: LCM of 3521 and 3527 is 12418567.

2. What are the Factors of 3521?

Answer: Factors of 3521 are 1, 7, 503, 3521. There are 4 integers that are factors of 3521. The greatest factor of 3521 is 3521.

3. What are the Factors of 3527?

Answer: Factors of 3527 are 1, 3527. There are 2 integers that are factors of 3527. The greatest factor of 3527 is 3527.

4. How to Find the LCM of 3521 and 3527?

Answer:

Least Common Multiple of 3521 and 3527 = 12418567

Step 1: Find the prime factorization of 3521

3521 = 7 x 503

Step 2: Find the prime factorization of 3527

3527 = 3527

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

LCM = 12418567 = 7 x 503 x 3527

Step 4: Therefore, the least common multiple of 3521 and 3527 is 12418567.