Least Common Multiple of 6542 and 6550

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 6550 the smallest integer that is 21425050 that is divisible by both numbers.

Least Common Multiple (LCM) of 6542 and 6550 is 21425050.

LCM(6542,6550) = 21425050

LCM of 6542 and 6550

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

LCM of:
and

Least Common Multiple of 6542 and 6550

LCM of 6542 and 6550 is 21425050

Least common multiple can be found by multiplying the highest exponent prime factors of 6542 and 6550. First we will calculate the prime factors of 6542 and 6550.

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 6550


2 6550
5 3275
5 655
131 131
1

Prime factors of 6550 are 2, 5,131. Prime factorization of 6550 in exponential form is:

6550 = 21×52×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6542 and 6550.

LCM(6542,6550) = 21×52×1311×32711
LCM(6542,6550) = 21425050

Factors of 6542

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

1, 2, 3271, 6542

Factors of 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550

Least Common Multiple of 6542 and 6550 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 6550, than apply into the LCM equation.

GCF(6542,6550) = 2
LCM(6542,6550) = ( 6542 × 6550) / 2
LCM(6542,6550) = 42850100 / 2
LCM(6542,6550) = 21425050

Properties of LCM 6542 and 6550

(i) The LCM of 6550 and 6542 is associative

LCM of 6542 and 6550 = LCM of 6550 and 6542

Related Least Common Multiples of 6542

Related Least Common Multiples of 6550

Frequently Asked Questions on LCM of 6542 and 6550

1. What is the LCM of 6542 and 6550?

Answer: LCM of 6542 and 6550 is 21425050.

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 6550?

Answer: Factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550. There are 12 integers that are factors of 6550. The greatest factor of 6550 is 6550.

4. How to Find the LCM of 6542 and 6550?

Answer:

Least Common Multiple of 6542 and 6550 = 21425050

Step 1: Find the prime factorization of 6542

6542 = 2 x 3271

Step 2: Find the prime factorization of 6550

6550 = 2 x 5 x 5 x 131

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

LCM = 21425050 = 2 x 5 x 5 x 131 x 3271

Step 4: Therefore, the least common multiple of 6542 and 6550 is 21425050.