Least Common Multiple of 3531 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 3531 and 3537 the smallest integer that is 4163049 that is divisible by both numbers.

Least Common Multiple (LCM) of 3531 and 3537 is 4163049.

LCM(3531,3537) = 4163049

LCM of 3531 and 3537

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

LCM of:
and

Least Common Multiple of 3531 and 3537

LCM of 3531 and 3537 is 4163049

Least common multiple can be found by multiplying the highest exponent prime factors of 3531 and 3537. First we will calculate the prime factors of 3531 and 3537.

Prime Factorization of 3531


3 3531
11 1177
107 107
1

Prime factors of 3531 are 3, 11,107. Prime factorization of 3531 in exponential form is:

3531 = 31×111×1071

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 3531 and 3537.

LCM(3531,3537) = 33×111×1071×1311
LCM(3531,3537) = 4163049

Factors of 3531

List of positive integer factors of 3531 that divides 3531 without a remainder.

1, 3, 11, 33, 107, 321, 1177, 3531

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 3531 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 3531 and 3537, than apply into the LCM equation.

GCF(3531,3537) = 3
LCM(3531,3537) = ( 3531 × 3537) / 3
LCM(3531,3537) = 12489147 / 3
LCM(3531,3537) = 4163049

Properties of LCM 3531 and 3537

(i) The LCM of 3537 and 3531 is associative

LCM of 3531 and 3537 = LCM of 3537 and 3531

Related Least Common Multiples of 3531

Related Least Common Multiples of 3537

Frequently Asked Questions on LCM of 3531 and 3537

1. What is the LCM of 3531 and 3537?

Answer: LCM of 3531 and 3537 is 4163049.

2. What are the Factors of 3531?

Answer: Factors of 3531 are 1, 3, 11, 33, 107, 321, 1177, 3531. There are 8 integers that are factors of 3531. The greatest factor of 3531 is 3531.

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 3531 and 3537?

Answer:

Least Common Multiple of 3531 and 3537 = 4163049

Step 1: Find the prime factorization of 3531

3531 = 3 x 11 x 107

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 = 4163049 = 3 x 3 x 3 x 11 x 107 x 131

Step 4: Therefore, the least common multiple of 3531 and 3537 is 4163049.