Least Common Multiple of 6547 and 6552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6547 and 6552 the smallest integer that is 42895944 that is divisible by both numbers.

Least Common Multiple (LCM) of 6547 and 6552 is 42895944.

LCM(6547,6552) = 42895944

LCM of 6547 and 6552

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

LCM of:
and

Least Common Multiple of 6547 and 6552

LCM of 6547 and 6552 is 42895944

Least common multiple can be found by multiplying the highest exponent prime factors of 6547 and 6552. First we will calculate the prime factors of 6547 and 6552.

Prime Factorization of 6547


6547 6547
1

Prime factors of 6547 are 6547. Prime factorization of 6547 in exponential form is:

6547 = 65471

Prime Factorization of 6552


2 6552
2 3276
2 1638
3 819
3 273
7 91
13 13
1

Prime factors of 6552 are 2, 3, 7,13. Prime factorization of 6552 in exponential form is:

6552 = 23×32×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 6547 and 6552.

LCM(6547,6552) = 23×32×71×131×65471
LCM(6547,6552) = 42895944

Factors of 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1, 6547

Factors of 6552

List of positive integer factors of 6552 that divides 6552 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552

Least Common Multiple of 6547 and 6552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6547 and 6552, than apply into the LCM equation.

GCF(6547,6552) = 1
LCM(6547,6552) = ( 6547 × 6552) / 1
LCM(6547,6552) = 42895944 / 1
LCM(6547,6552) = 42895944

Properties of LCM 6547 and 6552

(i) The LCM of 6552 and 6547 is associative

LCM of 6547 and 6552 = LCM of 6552 and 6547

Related Least Common Multiples of 6547

Related Least Common Multiples of 6552

Frequently Asked Questions on LCM of 6547 and 6552

1. What is the LCM of 6547 and 6552?

Answer: LCM of 6547 and 6552 is 42895944.

2. What are the Factors of 6547?

Answer: Factors of 6547 are 1, 6547. There are 2 integers that are factors of 6547. The greatest factor of 6547 is 6547.

3. What are the Factors of 6552?

Answer: Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. There are 48 integers that are factors of 6552. The greatest factor of 6552 is 6552.

4. How to Find the LCM of 6547 and 6552?

Answer:

Least Common Multiple of 6547 and 6552 = 42895944

Step 1: Find the prime factorization of 6547

6547 = 6547

Step 2: Find the prime factorization of 6552

6552 = 2 x 2 x 2 x 3 x 3 x 7 x 13

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

LCM = 42895944 = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 6547

Step 4: Therefore, the least common multiple of 6547 and 6552 is 42895944.