Least Common Multiple of 3527 and 3531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3527 and 3531 the smallest integer that is 12453837 that is divisible by both numbers.

Least Common Multiple (LCM) of 3527 and 3531 is 12453837.

LCM(3527,3531) = 12453837

LCM of 3527 and 3531

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

LCM of:
and

Least Common Multiple of 3527 and 3531

LCM of 3527 and 3531 is 12453837

Least common multiple can be found by multiplying the highest exponent prime factors of 3527 and 3531. First we will calculate the prime factors of 3527 and 3531.

Prime Factorization of 3527


3527 3527
1

Prime factors of 3527 are 3527. Prime factorization of 3527 in exponential form is:

3527 = 35271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3527 and 3531.

LCM(3527,3531) = 31×111×1071×35271
LCM(3527,3531) = 12453837

Factors of 3527

List of positive integer factors of 3527 that divides 3527 without a remainder.

1, 3527

Factors of 3531

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

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

Least Common Multiple of 3527 and 3531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3527 and 3531, than apply into the LCM equation.

GCF(3527,3531) = 1
LCM(3527,3531) = ( 3527 × 3531) / 1
LCM(3527,3531) = 12453837 / 1
LCM(3527,3531) = 12453837

Properties of LCM 3527 and 3531

(i) The LCM of 3531 and 3527 is associative

LCM of 3527 and 3531 = LCM of 3531 and 3527

Related Least Common Multiples of 3527

Related Least Common Multiples of 3531

Frequently Asked Questions on LCM of 3527 and 3531

1. What is the LCM of 3527 and 3531?

Answer: LCM of 3527 and 3531 is 12453837.

2. What are the Factors of 3527?

Answer: Factors of 3527 are 1, 3527. There are 2 integers that are factors of 3527. The greatest factor of 3527 is 3527.

3. 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.

4. How to Find the LCM of 3527 and 3531?

Answer:

Least Common Multiple of 3527 and 3531 = 12453837

Step 1: Find the prime factorization of 3527

3527 = 3527

Step 2: Find the prime factorization of 3531

3531 = 3 x 11 x 107

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

LCM = 12453837 = 3 x 11 x 107 x 3527

Step 4: Therefore, the least common multiple of 3527 and 3531 is 12453837.