Least Common Multiple of 6511 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 6511 and 6516 the smallest integer that is 42425676 that is divisible by both numbers.

Least Common Multiple (LCM) of 6511 and 6516 is 42425676.

LCM(6511,6516) = 42425676

LCM of 6511 and 6516

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

LCM of:
and

Least Common Multiple of 6511 and 6516

LCM of 6511 and 6516 is 42425676

Least common multiple can be found by multiplying the highest exponent prime factors of 6511 and 6516. First we will calculate the prime factors of 6511 and 6516.

Prime Factorization of 6511


17 6511
383 383
1

Prime factors of 6511 are 17,383. Prime factorization of 6511 in exponential form is:

6511 = 171×3831

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 6511 and 6516.

LCM(6511,6516) = 22×32×171×1811×3831
LCM(6511,6516) = 42425676

Factors of 6511

List of positive integer factors of 6511 that divides 6511 without a remainder.

1, 17, 383, 6511

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 6511 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 6511 and 6516, than apply into the LCM equation.

GCF(6511,6516) = 1
LCM(6511,6516) = ( 6511 × 6516) / 1
LCM(6511,6516) = 42425676 / 1
LCM(6511,6516) = 42425676

Properties of LCM 6511 and 6516

(i) The LCM of 6516 and 6511 is associative

LCM of 6511 and 6516 = LCM of 6516 and 6511

Related Least Common Multiples of 6511

Related Least Common Multiples of 6516

Frequently Asked Questions on LCM of 6511 and 6516

1. What is the LCM of 6511 and 6516?

Answer: LCM of 6511 and 6516 is 42425676.

2. What are the Factors of 6511?

Answer: Factors of 6511 are 1, 17, 383, 6511. There are 4 integers that are factors of 6511. The greatest factor of 6511 is 6511.

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 6511 and 6516?

Answer:

Least Common Multiple of 6511 and 6516 = 42425676

Step 1: Find the prime factorization of 6511

6511 = 17 x 383

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 = 42425676 = 2 x 2 x 3 x 3 x 17 x 181 x 383

Step 4: Therefore, the least common multiple of 6511 and 6516 is 42425676.