Least Common Multiple of 3531 and 3539

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 3539 the smallest integer that is 12496209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3531 and 3539 is 12496209.

LCM(3531,3539) = 12496209

LCM of 3531 and 3539

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

LCM of:
and

Least Common Multiple of 3531 and 3539

LCM of 3531 and 3539 is 12496209

Least common multiple can be found by multiplying the highest exponent prime factors of 3531 and 3539. First we will calculate the prime factors of 3531 and 3539.

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 3539


3539 3539
1

Prime factors of 3539 are 3539. Prime factorization of 3539 in exponential form is:

3539 = 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 3531 and 3539.

LCM(3531,3539) = 31×111×1071×35391
LCM(3531,3539) = 12496209

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 3539

List of positive integer factors of 3539 that divides 3539 without a remainder.

1, 3539

Least Common Multiple of 3531 and 3539 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 3539, than apply into the LCM equation.

GCF(3531,3539) = 1
LCM(3531,3539) = ( 3531 × 3539) / 1
LCM(3531,3539) = 12496209 / 1
LCM(3531,3539) = 12496209

Properties of LCM 3531 and 3539

(i) The LCM of 3539 and 3531 is associative

LCM of 3531 and 3539 = LCM of 3539 and 3531

Related Least Common Multiples of 3531

Related Least Common Multiples of 3539

Frequently Asked Questions on LCM of 3531 and 3539

1. What is the LCM of 3531 and 3539?

Answer: LCM of 3531 and 3539 is 12496209.

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 3539?

Answer: Factors of 3539 are 1, 3539. There are 2 integers that are factors of 3539. The greatest factor of 3539 is 3539.

4. How to Find the LCM of 3531 and 3539?

Answer:

Least Common Multiple of 3531 and 3539 = 12496209

Step 1: Find the prime factorization of 3531

3531 = 3 x 11 x 107

Step 2: Find the prime factorization of 3539

3539 = 3539

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

LCM = 12496209 = 3 x 11 x 107 x 3539

Step 4: Therefore, the least common multiple of 3531 and 3539 is 12496209.