Least Common Multiple of 6562 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 6562 and 6570 the smallest integer that is 21556170 that is divisible by both numbers.

Least Common Multiple (LCM) of 6562 and 6570 is 21556170.

LCM(6562,6570) = 21556170

LCM of 6562 and 6570

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

LCM of:
and

Least Common Multiple of 6562 and 6570

LCM of 6562 and 6570 is 21556170

Least common multiple can be found by multiplying the highest exponent prime factors of 6562 and 6570. First we will calculate the prime factors of 6562 and 6570.

Prime Factorization of 6562


2 6562
17 3281
193 193
1

Prime factors of 6562 are 2, 17,193. Prime factorization of 6562 in exponential form is:

6562 = 21×171×1931

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 6562 and 6570.

LCM(6562,6570) = 21×32×51×171×731×1931
LCM(6562,6570) = 21556170

Factors of 6562

List of positive integer factors of 6562 that divides 6562 without a remainder.

1, 2, 17, 34, 193, 386, 3281, 6562

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 6562 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 6562 and 6570, than apply into the LCM equation.

GCF(6562,6570) = 2
LCM(6562,6570) = ( 6562 × 6570) / 2
LCM(6562,6570) = 43112340 / 2
LCM(6562,6570) = 21556170

Properties of LCM 6562 and 6570

(i) The LCM of 6570 and 6562 is associative

LCM of 6562 and 6570 = LCM of 6570 and 6562

Related Least Common Multiples of 6562

Related Least Common Multiples of 6570

Frequently Asked Questions on LCM of 6562 and 6570

1. What is the LCM of 6562 and 6570?

Answer: LCM of 6562 and 6570 is 21556170.

2. What are the Factors of 6562?

Answer: Factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562. There are 8 integers that are factors of 6562. The greatest factor of 6562 is 6562.

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 6562 and 6570?

Answer:

Least Common Multiple of 6562 and 6570 = 21556170

Step 1: Find the prime factorization of 6562

6562 = 2 x 17 x 193

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 = 21556170 = 2 x 3 x 3 x 5 x 17 x 73 x 193

Step 4: Therefore, the least common multiple of 6562 and 6570 is 21556170.