Least Common Multiple of 2527 and 2532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2527 and 2532 the smallest integer that is 6398364 that is divisible by both numbers.

Least Common Multiple (LCM) of 2527 and 2532 is 6398364.

LCM(2527,2532) = 6398364

LCM of 2527 and 2532

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

LCM of:
and

Least Common Multiple of 2527 and 2532

LCM of 2527 and 2532 is 6398364

Least common multiple can be found by multiplying the highest exponent prime factors of 2527 and 2532. First we will calculate the prime factors of 2527 and 2532.

Prime Factorization of 2527


7 2527
19 361
19 19
1

Prime factors of 2527 are 7,19. Prime factorization of 2527 in exponential form is:

2527 = 71×192

Prime Factorization of 2532


2 2532
2 1266
3 633
211 211
1

Prime factors of 2532 are 2, 3,211. Prime factorization of 2532 in exponential form is:

2532 = 22×31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2527 and 2532.

LCM(2527,2532) = 22×31×71×192×2111
LCM(2527,2532) = 6398364

Factors of 2527

List of positive integer factors of 2527 that divides 2527 without a remainder.

1, 7, 19, 133, 361, 2527

Factors of 2532

List of positive integer factors of 2532 that divides 2532 without a remainder.

1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532

Least Common Multiple of 2527 and 2532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2527 and 2532, than apply into the LCM equation.

GCF(2527,2532) = 1
LCM(2527,2532) = ( 2527 × 2532) / 1
LCM(2527,2532) = 6398364 / 1
LCM(2527,2532) = 6398364

Properties of LCM 2527 and 2532

(i) The LCM of 2532 and 2527 is associative

LCM of 2527 and 2532 = LCM of 2532 and 2527

Related Least Common Multiples of 2527

Related Least Common Multiples of 2532

Frequently Asked Questions on LCM of 2527 and 2532

1. What is the LCM of 2527 and 2532?

Answer: LCM of 2527 and 2532 is 6398364.

2. What are the Factors of 2527?

Answer: Factors of 2527 are 1, 7, 19, 133, 361, 2527. There are 6 integers that are factors of 2527. The greatest factor of 2527 is 2527.

3. What are the Factors of 2532?

Answer: Factors of 2532 are 1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532. There are 12 integers that are factors of 2532. The greatest factor of 2532 is 2532.

4. How to Find the LCM of 2527 and 2532?

Answer:

Least Common Multiple of 2527 and 2532 = 6398364

Step 1: Find the prime factorization of 2527

2527 = 7 x 19 x 19

Step 2: Find the prime factorization of 2532

2532 = 2 x 2 x 3 x 211

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

LCM = 6398364 = 2 x 2 x 3 x 7 x 19 x 19 x 211

Step 4: Therefore, the least common multiple of 2527 and 2532 is 6398364.