Least Common Multiple of 6516 and 6524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6516 and 6524 the smallest integer that is 10627596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6516 and 6524 is 10627596.

LCM(6516,6524) = 10627596

LCM of 6516 and 6524

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

LCM of:
and

Least Common Multiple of 6516 and 6524

LCM of 6516 and 6524 is 10627596

Least common multiple can be found by multiplying the highest exponent prime factors of 6516 and 6524. First we will calculate the prime factors of 6516 and 6524.

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

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2, 7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6516 and 6524.

LCM(6516,6524) = 22×32×71×1811×2331
LCM(6516,6524) = 10627596

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

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524

Least Common Multiple of 6516 and 6524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6516 and 6524, than apply into the LCM equation.

GCF(6516,6524) = 4
LCM(6516,6524) = ( 6516 × 6524) / 4
LCM(6516,6524) = 42510384 / 4
LCM(6516,6524) = 10627596

Properties of LCM 6516 and 6524

(i) The LCM of 6524 and 6516 is associative

LCM of 6516 and 6524 = LCM of 6524 and 6516

Related Least Common Multiples of 6516

Related Least Common Multiples of 6524

Frequently Asked Questions on LCM of 6516 and 6524

1. What is the LCM of 6516 and 6524?

Answer: LCM of 6516 and 6524 is 10627596.

2. 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.

3. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

4. How to Find the LCM of 6516 and 6524?

Answer:

Least Common Multiple of 6516 and 6524 = 10627596

Step 1: Find the prime factorization of 6516

6516 = 2 x 2 x 3 x 3 x 181

Step 2: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

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

LCM = 10627596 = 2 x 2 x 3 x 3 x 7 x 181 x 233

Step 4: Therefore, the least common multiple of 6516 and 6524 is 10627596.