Least Common Multiple of 6546 and 6553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6546 and 6553 the smallest integer that is 42895938 that is divisible by both numbers.

Least Common Multiple (LCM) of 6546 and 6553 is 42895938.

LCM(6546,6553) = 42895938

LCM of 6546 and 6553

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

LCM of:
and

Least Common Multiple of 6546 and 6553

LCM of 6546 and 6553 is 42895938

Least common multiple can be found by multiplying the highest exponent prime factors of 6546 and 6553. First we will calculate the prime factors of 6546 and 6553.

Prime Factorization of 6546


2 6546
3 3273
1091 1091
1

Prime factors of 6546 are 2, 3,1091. Prime factorization of 6546 in exponential form is:

6546 = 21×31×10911

Prime Factorization of 6553


6553 6553
1

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

6553 = 65531

Now multiplying the highest exponent prime factors to calculate the LCM of 6546 and 6553.

LCM(6546,6553) = 21×31×10911×65531
LCM(6546,6553) = 42895938

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1, 2, 3, 6, 1091, 2182, 3273, 6546

Factors of 6553

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

1, 6553

Least Common Multiple of 6546 and 6553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6546 and 6553, than apply into the LCM equation.

GCF(6546,6553) = 1
LCM(6546,6553) = ( 6546 × 6553) / 1
LCM(6546,6553) = 42895938 / 1
LCM(6546,6553) = 42895938

Properties of LCM 6546 and 6553

(i) The LCM of 6553 and 6546 is associative

LCM of 6546 and 6553 = LCM of 6553 and 6546

Related Least Common Multiples of 6546

Related Least Common Multiples of 6553

Frequently Asked Questions on LCM of 6546 and 6553

1. What is the LCM of 6546 and 6553?

Answer: LCM of 6546 and 6553 is 42895938.

2. What are the Factors of 6546?

Answer: Factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546. There are 8 integers that are factors of 6546. The greatest factor of 6546 is 6546.

3. 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.

4. How to Find the LCM of 6546 and 6553?

Answer:

Least Common Multiple of 6546 and 6553 = 42895938

Step 1: Find the prime factorization of 6546

6546 = 2 x 3 x 1091

Step 2: Find the prime factorization of 6553

6553 = 6553

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

LCM = 42895938 = 2 x 3 x 1091 x 6553

Step 4: Therefore, the least common multiple of 6546 and 6553 is 42895938.