Least Common Multiple of 6516 and 6523

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 6523 the smallest integer that is 42503868 that is divisible by both numbers.

Least Common Multiple (LCM) of 6516 and 6523 is 42503868.

LCM(6516,6523) = 42503868

LCM of 6516 and 6523

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

LCM of:
and

Least Common Multiple of 6516 and 6523

LCM of 6516 and 6523 is 42503868

Least common multiple can be found by multiplying the highest exponent prime factors of 6516 and 6523. First we will calculate the prime factors of 6516 and 6523.

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 6523


11 6523
593 593
1

Prime factors of 6523 are 11,593. Prime factorization of 6523 in exponential form is:

6523 = 111×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 6516 and 6523.

LCM(6516,6523) = 22×32×111×1811×5931
LCM(6516,6523) = 42503868

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 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1, 11, 593, 6523

Least Common Multiple of 6516 and 6523 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 6523, than apply into the LCM equation.

GCF(6516,6523) = 1
LCM(6516,6523) = ( 6516 × 6523) / 1
LCM(6516,6523) = 42503868 / 1
LCM(6516,6523) = 42503868

Properties of LCM 6516 and 6523

(i) The LCM of 6523 and 6516 is associative

LCM of 6516 and 6523 = LCM of 6523 and 6516

Related Least Common Multiples of 6516

Related Least Common Multiples of 6523

Frequently Asked Questions on LCM of 6516 and 6523

1. What is the LCM of 6516 and 6523?

Answer: LCM of 6516 and 6523 is 42503868.

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 6523?

Answer: Factors of 6523 are 1, 11, 593, 6523. There are 4 integers that are factors of 6523. The greatest factor of 6523 is 6523.

4. How to Find the LCM of 6516 and 6523?

Answer:

Least Common Multiple of 6516 and 6523 = 42503868

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 6523

6523 = 11 x 593

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

LCM = 42503868 = 2 x 2 x 3 x 3 x 11 x 181 x 593

Step 4: Therefore, the least common multiple of 6516 and 6523 is 42503868.