Least Common Multiple of 6552 and 6560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6552 and 6560 the smallest integer that is 5372640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6552 and 6560 is 5372640.

LCM(6552,6560) = 5372640

LCM of 6552 and 6560

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

LCM of:
and

Least Common Multiple of 6552 and 6560

LCM of 6552 and 6560 is 5372640

Least common multiple can be found by multiplying the highest exponent prime factors of 6552 and 6560. First we will calculate the prime factors of 6552 and 6560.

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

Prime Factorization of 6560


2 6560
2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 6560 are 2, 5,41. Prime factorization of 6560 in exponential form is:

6560 = 25×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6552 and 6560.

LCM(6552,6560) = 25×32×51×71×131×411
LCM(6552,6560) = 5372640

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

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560

Least Common Multiple of 6552 and 6560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6552 and 6560, than apply into the LCM equation.

GCF(6552,6560) = 8
LCM(6552,6560) = ( 6552 × 6560) / 8
LCM(6552,6560) = 42981120 / 8
LCM(6552,6560) = 5372640

Properties of LCM 6552 and 6560

(i) The LCM of 6560 and 6552 is associative

LCM of 6552 and 6560 = LCM of 6560 and 6552

Related Least Common Multiples of 6552

Related Least Common Multiples of 6560

Frequently Asked Questions on LCM of 6552 and 6560

1. What is the LCM of 6552 and 6560?

Answer: LCM of 6552 and 6560 is 5372640.

2. 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.

3. What are the Factors of 6560?

Answer: Factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560. There are 24 integers that are factors of 6560. The greatest factor of 6560 is 6560.

4. How to Find the LCM of 6552 and 6560?

Answer:

Least Common Multiple of 6552 and 6560 = 5372640

Step 1: Find the prime factorization of 6552

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

Step 2: Find the prime factorization of 6560

6560 = 2 x 2 x 2 x 2 x 2 x 5 x 41

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

LCM = 5372640 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 41

Step 4: Therefore, the least common multiple of 6552 and 6560 is 5372640.