Least Common Multiple of 6504 and 6510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6504 and 6510 the smallest integer that is 7056840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6504 and 6510 is 7056840.

LCM(6504,6510) = 7056840

LCM of 6504 and 6510

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

LCM of:
and

Least Common Multiple of 6504 and 6510

LCM of 6504 and 6510 is 7056840

Least common multiple can be found by multiplying the highest exponent prime factors of 6504 and 6510. First we will calculate the prime factors of 6504 and 6510.

Prime Factorization of 6504


2 6504
2 3252
2 1626
3 813
271 271
1

Prime factors of 6504 are 2, 3,271. Prime factorization of 6504 in exponential form is:

6504 = 23×31×2711

Prime Factorization of 6510


2 6510
3 3255
5 1085
7 217
31 31
1

Prime factors of 6510 are 2, 3, 5, 7,31. Prime factorization of 6510 in exponential form is:

6510 = 21×31×51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6504 and 6510.

LCM(6504,6510) = 23×31×51×71×311×2711
LCM(6504,6510) = 7056840

Factors of 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510

Least Common Multiple of 6504 and 6510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6504 and 6510, than apply into the LCM equation.

GCF(6504,6510) = 6
LCM(6504,6510) = ( 6504 × 6510) / 6
LCM(6504,6510) = 42341040 / 6
LCM(6504,6510) = 7056840

Properties of LCM 6504 and 6510

(i) The LCM of 6510 and 6504 is associative

LCM of 6504 and 6510 = LCM of 6510 and 6504

Related Least Common Multiples of 6504

Related Least Common Multiples of 6510

Frequently Asked Questions on LCM of 6504 and 6510

1. What is the LCM of 6504 and 6510?

Answer: LCM of 6504 and 6510 is 7056840.

2. What are the Factors of 6504?

Answer: Factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504. There are 16 integers that are factors of 6504. The greatest factor of 6504 is 6504.

3. What are the Factors of 6510?

Answer: Factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510. There are 32 integers that are factors of 6510. The greatest factor of 6510 is 6510.

4. How to Find the LCM of 6504 and 6510?

Answer:

Least Common Multiple of 6504 and 6510 = 7056840

Step 1: Find the prime factorization of 6504

6504 = 2 x 2 x 2 x 3 x 271

Step 2: Find the prime factorization of 6510

6510 = 2 x 3 x 5 x 7 x 31

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

LCM = 7056840 = 2 x 2 x 2 x 3 x 5 x 7 x 31 x 271

Step 4: Therefore, the least common multiple of 6504 and 6510 is 7056840.