Least Common Multiple of 6553 and 6556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6553 and 6556 the smallest integer that is 42961468 that is divisible by both numbers.

Least Common Multiple (LCM) of 6553 and 6556 is 42961468.

LCM(6553,6556) = 42961468

LCM of 6553 and 6556

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

LCM of:
and

Least Common Multiple of 6553 and 6556

LCM of 6553 and 6556 is 42961468

Least common multiple can be found by multiplying the highest exponent prime factors of 6553 and 6556. First we will calculate the prime factors of 6553 and 6556.

Prime Factorization of 6553


6553 6553
1

Prime factors of 6553 are 6553. Prime factorization of 6553 in exponential form is:

6553 = 65531

Prime Factorization of 6556


2 6556
2 3278
11 1639
149 149
1

Prime factors of 6556 are 2, 11,149. Prime factorization of 6556 in exponential form is:

6556 = 22×111×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6553 and 6556.

LCM(6553,6556) = 22×111×1491×65531
LCM(6553,6556) = 42961468

Factors of 6553

List of positive integer factors of 6553 that divides 6553 without a remainder.

1, 6553

Factors of 6556

List of positive integer factors of 6556 that divides 6556 without a remainder.

1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278, 6556

Least Common Multiple of 6553 and 6556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6553 and 6556, than apply into the LCM equation.

GCF(6553,6556) = 1
LCM(6553,6556) = ( 6553 × 6556) / 1
LCM(6553,6556) = 42961468 / 1
LCM(6553,6556) = 42961468

Properties of LCM 6553 and 6556

(i) The LCM of 6556 and 6553 is associative

LCM of 6553 and 6556 = LCM of 6556 and 6553

Related Least Common Multiples of 6553

Related Least Common Multiples of 6556

Frequently Asked Questions on LCM of 6553 and 6556

1. What is the LCM of 6553 and 6556?

Answer: LCM of 6553 and 6556 is 42961468.

2. What are the Factors of 6553?

Answer: Factors of 6553 are 1, 6553. There are 2 integers that are factors of 6553. The greatest factor of 6553 is 6553.

3. What are the Factors of 6556?

Answer: Factors of 6556 are 1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278, 6556. There are 12 integers that are factors of 6556. The greatest factor of 6556 is 6556.

4. How to Find the LCM of 6553 and 6556?

Answer:

Least Common Multiple of 6553 and 6556 = 42961468

Step 1: Find the prime factorization of 6553

6553 = 6553

Step 2: Find the prime factorization of 6556

6556 = 2 x 2 x 11 x 149

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

LCM = 42961468 = 2 x 2 x 11 x 149 x 6553

Step 4: Therefore, the least common multiple of 6553 and 6556 is 42961468.