Least Common Multiple of 3531 and 3535

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 3535 the smallest integer that is 12482085 that is divisible by both numbers.

Least Common Multiple (LCM) of 3531 and 3535 is 12482085.

LCM(3531,3535) = 12482085

LCM of 3531 and 3535

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

LCM of:
and

Least Common Multiple of 3531 and 3535

LCM of 3531 and 3535 is 12482085

Least common multiple can be found by multiplying the highest exponent prime factors of 3531 and 3535. First we will calculate the prime factors of 3531 and 3535.

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 3535


5 3535
7 707
101 101
1

Prime factors of 3535 are 5, 7,101. Prime factorization of 3535 in exponential form is:

3535 = 51×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3531 and 3535.

LCM(3531,3535) = 31×51×71×111×1011×1071
LCM(3531,3535) = 12482085

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 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1, 5, 7, 35, 101, 505, 707, 3535

Least Common Multiple of 3531 and 3535 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 3535, than apply into the LCM equation.

GCF(3531,3535) = 1
LCM(3531,3535) = ( 3531 × 3535) / 1
LCM(3531,3535) = 12482085 / 1
LCM(3531,3535) = 12482085

Properties of LCM 3531 and 3535

(i) The LCM of 3535 and 3531 is associative

LCM of 3531 and 3535 = LCM of 3535 and 3531

Related Least Common Multiples of 3531

Related Least Common Multiples of 3535

Frequently Asked Questions on LCM of 3531 and 3535

1. What is the LCM of 3531 and 3535?

Answer: LCM of 3531 and 3535 is 12482085.

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 3535?

Answer: Factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535. There are 8 integers that are factors of 3535. The greatest factor of 3535 is 3535.

4. How to Find the LCM of 3531 and 3535?

Answer:

Least Common Multiple of 3531 and 3535 = 12482085

Step 1: Find the prime factorization of 3531

3531 = 3 x 11 x 107

Step 2: Find the prime factorization of 3535

3535 = 5 x 7 x 101

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

LCM = 12482085 = 3 x 5 x 7 x 11 x 101 x 107

Step 4: Therefore, the least common multiple of 3531 and 3535 is 12482085.