Least Common Multiple of 6538 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 6538 and 6542 the smallest integer that is 21385798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6538 and 6542 is 21385798.

LCM(6538,6542) = 21385798

LCM of 6538 and 6542

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

LCM of:
and

Least Common Multiple of 6538 and 6542

LCM of 6538 and 6542 is 21385798

Least common multiple can be found by multiplying the highest exponent prime factors of 6538 and 6542. First we will calculate the prime factors of 6538 and 6542.

Prime Factorization of 6538


2 6538
7 3269
467 467
1

Prime factors of 6538 are 2, 7,467. Prime factorization of 6538 in exponential form is:

6538 = 21×71×4671

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 6538 and 6542.

LCM(6538,6542) = 21×71×4671×32711
LCM(6538,6542) = 21385798

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1, 2, 7, 14, 467, 934, 3269, 6538

Factors of 6542

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

1, 2, 3271, 6542

Least Common Multiple of 6538 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 6538 and 6542, than apply into the LCM equation.

GCF(6538,6542) = 2
LCM(6538,6542) = ( 6538 × 6542) / 2
LCM(6538,6542) = 42771596 / 2
LCM(6538,6542) = 21385798

Properties of LCM 6538 and 6542

(i) The LCM of 6542 and 6538 is associative

LCM of 6538 and 6542 = LCM of 6542 and 6538

Related Least Common Multiples of 6538

Related Least Common Multiples of 6542

Frequently Asked Questions on LCM of 6538 and 6542

1. What is the LCM of 6538 and 6542?

Answer: LCM of 6538 and 6542 is 21385798.

2. What are the Factors of 6538?

Answer: Factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538. There are 8 integers that are factors of 6538. The greatest factor of 6538 is 6538.

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 6538 and 6542?

Answer:

Least Common Multiple of 6538 and 6542 = 21385798

Step 1: Find the prime factorization of 6538

6538 = 2 x 7 x 467

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 = 21385798 = 2 x 7 x 467 x 3271

Step 4: Therefore, the least common multiple of 6538 and 6542 is 21385798.