Least Common Multiple of 3521 and 3526

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 3526 the smallest integer that is 12415046 that is divisible by both numbers.

Least Common Multiple (LCM) of 3521 and 3526 is 12415046.

LCM(3521,3526) = 12415046

LCM of 3521 and 3526

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

LCM of:
and

Least Common Multiple of 3521 and 3526

LCM of 3521 and 3526 is 12415046

Least common multiple can be found by multiplying the highest exponent prime factors of 3521 and 3526. First we will calculate the prime factors of 3521 and 3526.

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 3526


2 3526
41 1763
43 43
1

Prime factors of 3526 are 2, 41,43. Prime factorization of 3526 in exponential form is:

3526 = 21×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3521 and 3526.

LCM(3521,3526) = 21×71×411×431×5031
LCM(3521,3526) = 12415046

Factors of 3521

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

1, 7, 503, 3521

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1, 2, 41, 43, 82, 86, 1763, 3526

Least Common Multiple of 3521 and 3526 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 3526, than apply into the LCM equation.

GCF(3521,3526) = 1
LCM(3521,3526) = ( 3521 × 3526) / 1
LCM(3521,3526) = 12415046 / 1
LCM(3521,3526) = 12415046

Properties of LCM 3521 and 3526

(i) The LCM of 3526 and 3521 is associative

LCM of 3521 and 3526 = LCM of 3526 and 3521

Related Least Common Multiples of 3521

Related Least Common Multiples of 3526

Frequently Asked Questions on LCM of 3521 and 3526

1. What is the LCM of 3521 and 3526?

Answer: LCM of 3521 and 3526 is 12415046.

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 3526?

Answer: Factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526. There are 8 integers that are factors of 3526. The greatest factor of 3526 is 3526.

4. How to Find the LCM of 3521 and 3526?

Answer:

Least Common Multiple of 3521 and 3526 = 12415046

Step 1: Find the prime factorization of 3521

3521 = 7 x 503

Step 2: Find the prime factorization of 3526

3526 = 2 x 41 x 43

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

LCM = 12415046 = 2 x 7 x 41 x 43 x 503

Step 4: Therefore, the least common multiple of 3521 and 3526 is 12415046.