Least Common Multiple of 6527 and 6534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6527 and 6534 the smallest integer that is 42647418 that is divisible by both numbers.

Least Common Multiple (LCM) of 6527 and 6534 is 42647418.

LCM(6527,6534) = 42647418

LCM of 6527 and 6534

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

LCM of:
and

Least Common Multiple of 6527 and 6534

LCM of 6527 and 6534 is 42647418

Least common multiple can be found by multiplying the highest exponent prime factors of 6527 and 6534. First we will calculate the prime factors of 6527 and 6534.

Prime Factorization of 6527


61 6527
107 107
1

Prime factors of 6527 are 61,107. Prime factorization of 6527 in exponential form is:

6527 = 611×1071

Prime Factorization of 6534


2 6534
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 6534 are 2, 3,11. Prime factorization of 6534 in exponential form is:

6534 = 21×33×112

Now multiplying the highest exponent prime factors to calculate the LCM of 6527 and 6534.

LCM(6527,6534) = 21×33×112×611×1071
LCM(6527,6534) = 42647418

Factors of 6527

List of positive integer factors of 6527 that divides 6527 without a remainder.

1, 61, 107, 6527

Factors of 6534

List of positive integer factors of 6534 that divides 6534 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534

Least Common Multiple of 6527 and 6534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6527 and 6534, than apply into the LCM equation.

GCF(6527,6534) = 1
LCM(6527,6534) = ( 6527 × 6534) / 1
LCM(6527,6534) = 42647418 / 1
LCM(6527,6534) = 42647418

Properties of LCM 6527 and 6534

(i) The LCM of 6534 and 6527 is associative

LCM of 6527 and 6534 = LCM of 6534 and 6527

Related Least Common Multiples of 6527

Related Least Common Multiples of 6534

Frequently Asked Questions on LCM of 6527 and 6534

1. What is the LCM of 6527 and 6534?

Answer: LCM of 6527 and 6534 is 42647418.

2. What are the Factors of 6527?

Answer: Factors of 6527 are 1, 61, 107, 6527. There are 4 integers that are factors of 6527. The greatest factor of 6527 is 6527.

3. What are the Factors of 6534?

Answer: Factors of 6534 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534. There are 24 integers that are factors of 6534. The greatest factor of 6534 is 6534.

4. How to Find the LCM of 6527 and 6534?

Answer:

Least Common Multiple of 6527 and 6534 = 42647418

Step 1: Find the prime factorization of 6527

6527 = 61 x 107

Step 2: Find the prime factorization of 6534

6534 = 2 x 3 x 3 x 3 x 11 x 11

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

LCM = 42647418 = 2 x 3 x 3 x 3 x 11 x 11 x 61 x 107

Step 4: Therefore, the least common multiple of 6527 and 6534 is 42647418.