Least Common Multiple of 6551 and 6559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6551 and 6559 the smallest integer that is 42968009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6551 and 6559 is 42968009.

LCM(6551,6559) = 42968009

LCM of 6551 and 6559

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

LCM of:
and

Least Common Multiple of 6551 and 6559

LCM of 6551 and 6559 is 42968009

Least common multiple can be found by multiplying the highest exponent prime factors of 6551 and 6559. First we will calculate the prime factors of 6551 and 6559.

Prime Factorization of 6551


6551 6551
1

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

6551 = 65511

Prime Factorization of 6559


7 6559
937 937
1

Prime factors of 6559 are 7,937. Prime factorization of 6559 in exponential form is:

6559 = 71×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 6551 and 6559.

LCM(6551,6559) = 71×9371×65511
LCM(6551,6559) = 42968009

Factors of 6551

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

1, 6551

Factors of 6559

List of positive integer factors of 6559 that divides 6559 without a remainder.

1, 7, 937, 6559

Least Common Multiple of 6551 and 6559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6551 and 6559, than apply into the LCM equation.

GCF(6551,6559) = 1
LCM(6551,6559) = ( 6551 × 6559) / 1
LCM(6551,6559) = 42968009 / 1
LCM(6551,6559) = 42968009

Properties of LCM 6551 and 6559

(i) The LCM of 6559 and 6551 is associative

LCM of 6551 and 6559 = LCM of 6559 and 6551

Related Least Common Multiples of 6551

Related Least Common Multiples of 6559

Frequently Asked Questions on LCM of 6551 and 6559

1. What is the LCM of 6551 and 6559?

Answer: LCM of 6551 and 6559 is 42968009.

2. 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.

3. What are the Factors of 6559?

Answer: Factors of 6559 are 1, 7, 937, 6559. There are 4 integers that are factors of 6559. The greatest factor of 6559 is 6559.

4. How to Find the LCM of 6551 and 6559?

Answer:

Least Common Multiple of 6551 and 6559 = 42968009

Step 1: Find the prime factorization of 6551

6551 = 6551

Step 2: Find the prime factorization of 6559

6559 = 7 x 937

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

LCM = 42968009 = 7 x 937 x 6551

Step 4: Therefore, the least common multiple of 6551 and 6559 is 42968009.