Least Common Multiple of 6545 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 6545 and 6552 the smallest integer that is 6126120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6545 and 6552 is 6126120.

LCM(6545,6552) = 6126120

LCM of 6545 and 6552

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

LCM of:
and

Least Common Multiple of 6545 and 6552

LCM of 6545 and 6552 is 6126120

Least common multiple can be found by multiplying the highest exponent prime factors of 6545 and 6552. First we will calculate the prime factors of 6545 and 6552.

Prime Factorization of 6545


5 6545
7 1309
11 187
17 17
1

Prime factors of 6545 are 5, 7, 11,17. Prime factorization of 6545 in exponential form is:

6545 = 51×71×111×171

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 6545 and 6552.

LCM(6545,6552) = 23×32×51×71×111×131×171
LCM(6545,6552) = 6126120

Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545

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 6545 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 6545 and 6552, than apply into the LCM equation.

GCF(6545,6552) = 7
LCM(6545,6552) = ( 6545 × 6552) / 7
LCM(6545,6552) = 42882840 / 7
LCM(6545,6552) = 6126120

Properties of LCM 6545 and 6552

(i) The LCM of 6552 and 6545 is associative

LCM of 6545 and 6552 = LCM of 6552 and 6545

Related Least Common Multiples of 6545

Related Least Common Multiples of 6552

Frequently Asked Questions on LCM of 6545 and 6552

1. What is the LCM of 6545 and 6552?

Answer: LCM of 6545 and 6552 is 6126120.

2. What are the Factors of 6545?

Answer: Factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545. There are 16 integers that are factors of 6545. The greatest factor of 6545 is 6545.

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 6545 and 6552?

Answer:

Least Common Multiple of 6545 and 6552 = 6126120

Step 1: Find the prime factorization of 6545

6545 = 5 x 7 x 11 x 17

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 = 6126120 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 6545 and 6552 is 6126120.