Least Common Multiple of 6545 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 6545 and 6550 the smallest integer that is 8573950 that is divisible by both numbers.

Least Common Multiple (LCM) of 6545 and 6550 is 8573950.

LCM(6545,6550) = 8573950

LCM of 6545 and 6550

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

LCM of:
and

Least Common Multiple of 6545 and 6550

LCM of 6545 and 6550 is 8573950

Least common multiple can be found by multiplying the highest exponent prime factors of 6545 and 6550. First we will calculate the prime factors of 6545 and 6550.

Prime Factorization of 6545


5 6545
7 1309
11 187
17 17
1

Prime factors of 6545 are 5, 7, 11,17. Prime factorization of 6545 in exponential form is:

6545 = 51×71×111×171

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 6545 and 6550.

LCM(6545,6550) = 21×52×71×111×171×1311
LCM(6545,6550) = 8573950

Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545

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 6545 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 6545 and 6550, than apply into the LCM equation.

GCF(6545,6550) = 5
LCM(6545,6550) = ( 6545 × 6550) / 5
LCM(6545,6550) = 42869750 / 5
LCM(6545,6550) = 8573950

Properties of LCM 6545 and 6550

(i) The LCM of 6550 and 6545 is associative

LCM of 6545 and 6550 = LCM of 6550 and 6545

Related Least Common Multiples of 6545

Related Least Common Multiples of 6550

Frequently Asked Questions on LCM of 6545 and 6550

1. What is the LCM of 6545 and 6550?

Answer: LCM of 6545 and 6550 is 8573950.

2. What are the Factors of 6545?

Answer: Factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545. There are 16 integers that are factors of 6545. The greatest factor of 6545 is 6545.

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 6545 and 6550?

Answer:

Least Common Multiple of 6545 and 6550 = 8573950

Step 1: Find the prime factorization of 6545

6545 = 5 x 7 x 11 x 17

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 = 8573950 = 2 x 5 x 5 x 7 x 11 x 17 x 131

Step 4: Therefore, the least common multiple of 6545 and 6550 is 8573950.