Least Common Multiple of 6565 and 6570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6565 and 6570 the smallest integer that is 8626410 that is divisible by both numbers.

Least Common Multiple (LCM) of 6565 and 6570 is 8626410.

LCM(6565,6570) = 8626410

LCM of 6565 and 6570

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

LCM of:
and

Least Common Multiple of 6565 and 6570

LCM of 6565 and 6570 is 8626410

Least common multiple can be found by multiplying the highest exponent prime factors of 6565 and 6570. First we will calculate the prime factors of 6565 and 6570.

Prime Factorization of 6565


5 6565
13 1313
101 101
1

Prime factors of 6565 are 5, 13,101. Prime factorization of 6565 in exponential form is:

6565 = 51×131×1011

Prime Factorization of 6570


2 6570
3 3285
3 1095
5 365
73 73
1

Prime factors of 6570 are 2, 3, 5,73. Prime factorization of 6570 in exponential form is:

6570 = 21×32×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6565 and 6570.

LCM(6565,6570) = 21×32×51×131×731×1011
LCM(6565,6570) = 8626410

Factors of 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1, 5, 13, 65, 101, 505, 1313, 6565

Factors of 6570

List of positive integer factors of 6570 that divides 6570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570

Least Common Multiple of 6565 and 6570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6565 and 6570, than apply into the LCM equation.

GCF(6565,6570) = 5
LCM(6565,6570) = ( 6565 × 6570) / 5
LCM(6565,6570) = 43132050 / 5
LCM(6565,6570) = 8626410

Properties of LCM 6565 and 6570

(i) The LCM of 6570 and 6565 is associative

LCM of 6565 and 6570 = LCM of 6570 and 6565

Related Least Common Multiples of 6565

Related Least Common Multiples of 6570

Frequently Asked Questions on LCM of 6565 and 6570

1. What is the LCM of 6565 and 6570?

Answer: LCM of 6565 and 6570 is 8626410.

2. What are the Factors of 6565?

Answer: Factors of 6565 are 1, 5, 13, 65, 101, 505, 1313, 6565. There are 8 integers that are factors of 6565. The greatest factor of 6565 is 6565.

3. What are the Factors of 6570?

Answer: Factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570. There are 24 integers that are factors of 6570. The greatest factor of 6570 is 6570.

4. How to Find the LCM of 6565 and 6570?

Answer:

Least Common Multiple of 6565 and 6570 = 8626410

Step 1: Find the prime factorization of 6565

6565 = 5 x 13 x 101

Step 2: Find the prime factorization of 6570

6570 = 2 x 3 x 3 x 5 x 73

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

LCM = 8626410 = 2 x 3 x 3 x 5 x 13 x 73 x 101

Step 4: Therefore, the least common multiple of 6565 and 6570 is 8626410.