Least Common Multiple of 3527 and 3532

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 3532 the smallest integer that is 12457364 that is divisible by both numbers.

Least Common Multiple (LCM) of 3527 and 3532 is 12457364.

LCM(3527,3532) = 12457364

LCM of 3527 and 3532

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

LCM of:
and

Least Common Multiple of 3527 and 3532

LCM of 3527 and 3532 is 12457364

Least common multiple can be found by multiplying the highest exponent prime factors of 3527 and 3532. First we will calculate the prime factors of 3527 and 3532.

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 3532


2 3532
2 1766
883 883
1

Prime factors of 3532 are 2,883. Prime factorization of 3532 in exponential form is:

3532 = 22×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 3527 and 3532.

LCM(3527,3532) = 22×8831×35271
LCM(3527,3532) = 12457364

Factors of 3527

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

1, 3527

Factors of 3532

List of positive integer factors of 3532 that divides 3532 without a remainder.

1, 2, 4, 883, 1766, 3532

Least Common Multiple of 3527 and 3532 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 3532, than apply into the LCM equation.

GCF(3527,3532) = 1
LCM(3527,3532) = ( 3527 × 3532) / 1
LCM(3527,3532) = 12457364 / 1
LCM(3527,3532) = 12457364

Properties of LCM 3527 and 3532

(i) The LCM of 3532 and 3527 is associative

LCM of 3527 and 3532 = LCM of 3532 and 3527

Related Least Common Multiples of 3527

Related Least Common Multiples of 3532

Frequently Asked Questions on LCM of 3527 and 3532

1. What is the LCM of 3527 and 3532?

Answer: LCM of 3527 and 3532 is 12457364.

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 3532?

Answer: Factors of 3532 are 1, 2, 4, 883, 1766, 3532. There are 6 integers that are factors of 3532. The greatest factor of 3532 is 3532.

4. How to Find the LCM of 3527 and 3532?

Answer:

Least Common Multiple of 3527 and 3532 = 12457364

Step 1: Find the prime factorization of 3527

3527 = 3527

Step 2: Find the prime factorization of 3532

3532 = 2 x 2 x 883

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

LCM = 12457364 = 2 x 2 x 883 x 3527

Step 4: Therefore, the least common multiple of 3527 and 3532 is 12457364.