Least Common Multiple of 6509 and 6516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6509 and 6516 the smallest integer that is 42412644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6509 and 6516 is 42412644.

LCM(6509,6516) = 42412644

LCM of 6509 and 6516

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

LCM of:
and

Least Common Multiple of 6509 and 6516

LCM of 6509 and 6516 is 42412644

Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6516. First we will calculate the prime factors of 6509 and 6516.

Prime Factorization of 6509


23 6509
283 283
1

Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:

6509 = 231×2831

Prime Factorization of 6516


2 6516
2 3258
3 1629
3 543
181 181
1

Prime factors of 6516 are 2, 3,181. Prime factorization of 6516 in exponential form is:

6516 = 22×32×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6509 and 6516.

LCM(6509,6516) = 22×32×231×1811×2831
LCM(6509,6516) = 42412644

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1, 23, 283, 6509

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516

Least Common Multiple of 6509 and 6516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6509 and 6516, than apply into the LCM equation.

GCF(6509,6516) = 1
LCM(6509,6516) = ( 6509 × 6516) / 1
LCM(6509,6516) = 42412644 / 1
LCM(6509,6516) = 42412644

Properties of LCM 6509 and 6516

(i) The LCM of 6516 and 6509 is associative

LCM of 6509 and 6516 = LCM of 6516 and 6509

Related Least Common Multiples of 6509

Related Least Common Multiples of 6516

Frequently Asked Questions on LCM of 6509 and 6516

1. What is the LCM of 6509 and 6516?

Answer: LCM of 6509 and 6516 is 42412644.

2. What are the Factors of 6509?

Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.

3. What are the Factors of 6516?

Answer: Factors of 6516 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516. There are 18 integers that are factors of 6516. The greatest factor of 6516 is 6516.

4. How to Find the LCM of 6509 and 6516?

Answer:

Least Common Multiple of 6509 and 6516 = 42412644

Step 1: Find the prime factorization of 6509

6509 = 23 x 283

Step 2: Find the prime factorization of 6516

6516 = 2 x 2 x 3 x 3 x 181

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

LCM = 42412644 = 2 x 2 x 3 x 3 x 23 x 181 x 283

Step 4: Therefore, the least common multiple of 6509 and 6516 is 42412644.