Least Common Multiple of 6534 and 6542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6534 and 6542 the smallest integer that is 21372714 that is divisible by both numbers.

Least Common Multiple (LCM) of 6534 and 6542 is 21372714.

LCM(6534,6542) = 21372714

LCM of 6534 and 6542

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

LCM of:
and

Least Common Multiple of 6534 and 6542

LCM of 6534 and 6542 is 21372714

Least common multiple can be found by multiplying the highest exponent prime factors of 6534 and 6542. First we will calculate the prime factors of 6534 and 6542.

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

Prime Factorization of 6542


2 6542
3271 3271
1

Prime factors of 6542 are 2,3271. Prime factorization of 6542 in exponential form is:

6542 = 21×32711

Now multiplying the highest exponent prime factors to calculate the LCM of 6534 and 6542.

LCM(6534,6542) = 21×33×112×32711
LCM(6534,6542) = 21372714

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

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1, 2, 3271, 6542

Least Common Multiple of 6534 and 6542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6534 and 6542, than apply into the LCM equation.

GCF(6534,6542) = 2
LCM(6534,6542) = ( 6534 × 6542) / 2
LCM(6534,6542) = 42745428 / 2
LCM(6534,6542) = 21372714

Properties of LCM 6534 and 6542

(i) The LCM of 6542 and 6534 is associative

LCM of 6534 and 6542 = LCM of 6542 and 6534

Related Least Common Multiples of 6534

Related Least Common Multiples of 6542

Frequently Asked Questions on LCM of 6534 and 6542

1. What is the LCM of 6534 and 6542?

Answer: LCM of 6534 and 6542 is 21372714.

2. 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.

3. What are the Factors of 6542?

Answer: Factors of 6542 are 1, 2, 3271, 6542. There are 4 integers that are factors of 6542. The greatest factor of 6542 is 6542.

4. How to Find the LCM of 6534 and 6542?

Answer:

Least Common Multiple of 6534 and 6542 = 21372714

Step 1: Find the prime factorization of 6534

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

Step 2: Find the prime factorization of 6542

6542 = 2 x 3271

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

LCM = 21372714 = 2 x 3 x 3 x 3 x 11 x 11 x 3271

Step 4: Therefore, the least common multiple of 6534 and 6542 is 21372714.