Least Common Multiple of 3533 and 3537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3533 and 3537 the smallest integer that is 12496221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3533 and 3537 is 12496221.

LCM(3533,3537) = 12496221

LCM of 3533 and 3537

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

LCM of:
and

Least Common Multiple of 3533 and 3537

LCM of 3533 and 3537 is 12496221

Least common multiple can be found by multiplying the highest exponent prime factors of 3533 and 3537. First we will calculate the prime factors of 3533 and 3537.

Prime Factorization of 3533


3533 3533
1

Prime factors of 3533 are 3533. Prime factorization of 3533 in exponential form is:

3533 = 35331

Prime Factorization of 3537


3 3537
3 1179
3 393
131 131
1

Prime factors of 3537 are 3,131. Prime factorization of 3537 in exponential form is:

3537 = 33×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3533 and 3537.

LCM(3533,3537) = 33×1311×35331
LCM(3533,3537) = 12496221

Factors of 3533

List of positive integer factors of 3533 that divides 3533 without a remainder.

1, 3533

Factors of 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1, 3, 9, 27, 131, 393, 1179, 3537

Least Common Multiple of 3533 and 3537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3533 and 3537, than apply into the LCM equation.

GCF(3533,3537) = 1
LCM(3533,3537) = ( 3533 × 3537) / 1
LCM(3533,3537) = 12496221 / 1
LCM(3533,3537) = 12496221

Properties of LCM 3533 and 3537

(i) The LCM of 3537 and 3533 is associative

LCM of 3533 and 3537 = LCM of 3537 and 3533

Related Least Common Multiples of 3533

Related Least Common Multiples of 3537

Frequently Asked Questions on LCM of 3533 and 3537

1. What is the LCM of 3533 and 3537?

Answer: LCM of 3533 and 3537 is 12496221.

2. What are the Factors of 3533?

Answer: Factors of 3533 are 1, 3533. There are 2 integers that are factors of 3533. The greatest factor of 3533 is 3533.

3. What are the Factors of 3537?

Answer: Factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537. There are 8 integers that are factors of 3537. The greatest factor of 3537 is 3537.

4. How to Find the LCM of 3533 and 3537?

Answer:

Least Common Multiple of 3533 and 3537 = 12496221

Step 1: Find the prime factorization of 3533

3533 = 3533

Step 2: Find the prime factorization of 3537

3537 = 3 x 3 x 3 x 131

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

LCM = 12496221 = 3 x 3 x 3 x 131 x 3533

Step 4: Therefore, the least common multiple of 3533 and 3537 is 12496221.