Least Common Multiple of 3537 and 3541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3537 and 3541 the smallest integer that is 12524517 that is divisible by both numbers.

Least Common Multiple (LCM) of 3537 and 3541 is 12524517.

LCM(3537,3541) = 12524517

LCM of 3537 and 3541

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

LCM of:
and

Least Common Multiple of 3537 and 3541

LCM of 3537 and 3541 is 12524517

Least common multiple can be found by multiplying the highest exponent prime factors of 3537 and 3541. First we will calculate the prime factors of 3537 and 3541.

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

Prime Factorization of 3541


3541 3541
1

Prime factors of 3541 are 3541. Prime factorization of 3541 in exponential form is:

3541 = 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 3537 and 3541.

LCM(3537,3541) = 33×1311×35411
LCM(3537,3541) = 12524517

Factors of 3537

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

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

Factors of 3541

List of positive integer factors of 3541 that divides 3541 without a remainder.

1, 3541

Least Common Multiple of 3537 and 3541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3537 and 3541, than apply into the LCM equation.

GCF(3537,3541) = 1
LCM(3537,3541) = ( 3537 × 3541) / 1
LCM(3537,3541) = 12524517 / 1
LCM(3537,3541) = 12524517

Properties of LCM 3537 and 3541

(i) The LCM of 3541 and 3537 is associative

LCM of 3537 and 3541 = LCM of 3541 and 3537

Related Least Common Multiples of 3537

Related Least Common Multiples of 3541

Frequently Asked Questions on LCM of 3537 and 3541

1. What is the LCM of 3537 and 3541?

Answer: LCM of 3537 and 3541 is 12524517.

2. 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.

3. What are the Factors of 3541?

Answer: Factors of 3541 are 1, 3541. There are 2 integers that are factors of 3541. The greatest factor of 3541 is 3541.

4. How to Find the LCM of 3537 and 3541?

Answer:

Least Common Multiple of 3537 and 3541 = 12524517

Step 1: Find the prime factorization of 3537

3537 = 3 x 3 x 3 x 131

Step 2: Find the prime factorization of 3541

3541 = 3541

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

LCM = 12524517 = 3 x 3 x 3 x 131 x 3541

Step 4: Therefore, the least common multiple of 3537 and 3541 is 12524517.