Least Common Multiple of 6544 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 6544 and 6552 the smallest integer that is 5359536 that is divisible by both numbers.

Least Common Multiple (LCM) of 6544 and 6552 is 5359536.

LCM(6544,6552) = 5359536

LCM of 6544 and 6552

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

LCM of:
and

Least Common Multiple of 6544 and 6552

LCM of 6544 and 6552 is 5359536

Least common multiple can be found by multiplying the highest exponent prime factors of 6544 and 6552. First we will calculate the prime factors of 6544 and 6552.

Prime Factorization of 6544


2 6544
2 3272
2 1636
2 818
409 409
1

Prime factors of 6544 are 2,409. Prime factorization of 6544 in exponential form is:

6544 = 24×4091

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 6544 and 6552.

LCM(6544,6552) = 24×32×71×131×4091
LCM(6544,6552) = 5359536

Factors of 6544

List of positive integer factors of 6544 that divides 6544 without a remainder.

1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544

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 6544 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 6544 and 6552, than apply into the LCM equation.

GCF(6544,6552) = 8
LCM(6544,6552) = ( 6544 × 6552) / 8
LCM(6544,6552) = 42876288 / 8
LCM(6544,6552) = 5359536

Properties of LCM 6544 and 6552

(i) The LCM of 6552 and 6544 is associative

LCM of 6544 and 6552 = LCM of 6552 and 6544

Related Least Common Multiples of 6544

Related Least Common Multiples of 6552

Frequently Asked Questions on LCM of 6544 and 6552

1. What is the LCM of 6544 and 6552?

Answer: LCM of 6544 and 6552 is 5359536.

2. What are the Factors of 6544?

Answer: Factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544. There are 10 integers that are factors of 6544. The greatest factor of 6544 is 6544.

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 6544 and 6552?

Answer:

Least Common Multiple of 6544 and 6552 = 5359536

Step 1: Find the prime factorization of 6544

6544 = 2 x 2 x 2 x 2 x 409

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 = 5359536 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 409

Step 4: Therefore, the least common multiple of 6544 and 6552 is 5359536.