Least Common Multiple of 6545 and 6551

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 6551 the smallest integer that is 42876295 that is divisible by both numbers.

Least Common Multiple (LCM) of 6545 and 6551 is 42876295.

LCM(6545,6551) = 42876295

LCM of 6545 and 6551

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

LCM of:
and

Least Common Multiple of 6545 and 6551

LCM of 6545 and 6551 is 42876295

Least common multiple can be found by multiplying the highest exponent prime factors of 6545 and 6551. First we will calculate the prime factors of 6545 and 6551.

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 6551


6551 6551
1

Prime factors of 6551 are 6551. Prime factorization of 6551 in exponential form is:

6551 = 65511

Now multiplying the highest exponent prime factors to calculate the LCM of 6545 and 6551.

LCM(6545,6551) = 51×71×111×171×65511
LCM(6545,6551) = 42876295

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 6551

List of positive integer factors of 6551 that divides 6551 without a remainder.

1, 6551

Least Common Multiple of 6545 and 6551 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 6551, than apply into the LCM equation.

GCF(6545,6551) = 1
LCM(6545,6551) = ( 6545 × 6551) / 1
LCM(6545,6551) = 42876295 / 1
LCM(6545,6551) = 42876295

Properties of LCM 6545 and 6551

(i) The LCM of 6551 and 6545 is associative

LCM of 6545 and 6551 = LCM of 6551 and 6545

Frequently Asked Questions on LCM of 6545 and 6551

1. What is the LCM of 6545 and 6551?

Answer: LCM of 6545 and 6551 is 42876295.

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 6551?

Answer: Factors of 6551 are 1, 6551. There are 2 integers that are factors of 6551. The greatest factor of 6551 is 6551.

4. How to Find the LCM of 6545 and 6551?

Answer:

Least Common Multiple of 6545 and 6551 = 42876295

Step 1: Find the prime factorization of 6545

6545 = 5 x 7 x 11 x 17

Step 2: Find the prime factorization of 6551

6551 = 6551

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

LCM = 42876295 = 5 x 7 x 11 x 17 x 6551

Step 4: Therefore, the least common multiple of 6545 and 6551 is 42876295.