Least Common Multiple of 6542 and 6548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6542 and 6548 the smallest integer that is 21418508 that is divisible by both numbers.

Least Common Multiple (LCM) of 6542 and 6548 is 21418508.

LCM(6542,6548) = 21418508

LCM of 6542 and 6548

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

LCM of:
and

Least Common Multiple of 6542 and 6548

LCM of 6542 and 6548 is 21418508

Least common multiple can be found by multiplying the highest exponent prime factors of 6542 and 6548. First we will calculate the prime factors of 6542 and 6548.

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

Prime Factorization of 6548


2 6548
2 3274
1637 1637
1

Prime factors of 6548 are 2,1637. Prime factorization of 6548 in exponential form is:

6548 = 22×16371

Now multiplying the highest exponent prime factors to calculate the LCM of 6542 and 6548.

LCM(6542,6548) = 22×16371×32711
LCM(6542,6548) = 21418508

Factors of 6542

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

1, 2, 3271, 6542

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1, 2, 4, 1637, 3274, 6548

Least Common Multiple of 6542 and 6548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6542 and 6548, than apply into the LCM equation.

GCF(6542,6548) = 2
LCM(6542,6548) = ( 6542 × 6548) / 2
LCM(6542,6548) = 42837016 / 2
LCM(6542,6548) = 21418508

Properties of LCM 6542 and 6548

(i) The LCM of 6548 and 6542 is associative

LCM of 6542 and 6548 = LCM of 6548 and 6542

Related Least Common Multiples of 6542

Related Least Common Multiples of 6548

Frequently Asked Questions on LCM of 6542 and 6548

1. What is the LCM of 6542 and 6548?

Answer: LCM of 6542 and 6548 is 21418508.

2. 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.

3. What are the Factors of 6548?

Answer: Factors of 6548 are 1, 2, 4, 1637, 3274, 6548. There are 6 integers that are factors of 6548. The greatest factor of 6548 is 6548.

4. How to Find the LCM of 6542 and 6548?

Answer:

Least Common Multiple of 6542 and 6548 = 21418508

Step 1: Find the prime factorization of 6542

6542 = 2 x 3271

Step 2: Find the prime factorization of 6548

6548 = 2 x 2 x 1637

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

LCM = 21418508 = 2 x 2 x 1637 x 3271

Step 4: Therefore, the least common multiple of 6542 and 6548 is 21418508.