Least Common Multiple of 6574 and 6580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6574 and 6580 the smallest integer that is 21628460 that is divisible by both numbers.

Least Common Multiple (LCM) of 6574 and 6580 is 21628460.

LCM(6574,6580) = 21628460

LCM of 6574 and 6580

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

LCM of:
and

Least Common Multiple of 6574 and 6580

LCM of 6574 and 6580 is 21628460

Least common multiple can be found by multiplying the highest exponent prime factors of 6574 and 6580. First we will calculate the prime factors of 6574 and 6580.

Prime Factorization of 6574


2 6574
19 3287
173 173
1

Prime factors of 6574 are 2, 19,173. Prime factorization of 6574 in exponential form is:

6574 = 21×191×1731

Prime Factorization of 6580


2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 6580 are 2, 5, 7,47. Prime factorization of 6580 in exponential form is:

6580 = 22×51×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6574 and 6580.

LCM(6574,6580) = 22×51×71×191×471×1731
LCM(6574,6580) = 21628460

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1, 2, 19, 38, 173, 346, 3287, 6574

Factors of 6580

List of positive integer factors of 6580 that divides 6580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580

Least Common Multiple of 6574 and 6580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6574 and 6580, than apply into the LCM equation.

GCF(6574,6580) = 2
LCM(6574,6580) = ( 6574 × 6580) / 2
LCM(6574,6580) = 43256920 / 2
LCM(6574,6580) = 21628460

Properties of LCM 6574 and 6580

(i) The LCM of 6580 and 6574 is associative

LCM of 6574 and 6580 = LCM of 6580 and 6574

Related Least Common Multiples of 6574

Related Least Common Multiples of 6580

Frequently Asked Questions on LCM of 6574 and 6580

1. What is the LCM of 6574 and 6580?

Answer: LCM of 6574 and 6580 is 21628460.

2. What are the Factors of 6574?

Answer: Factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574. There are 8 integers that are factors of 6574. The greatest factor of 6574 is 6574.

3. What are the Factors of 6580?

Answer: Factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580. There are 24 integers that are factors of 6580. The greatest factor of 6580 is 6580.

4. How to Find the LCM of 6574 and 6580?

Answer:

Least Common Multiple of 6574 and 6580 = 21628460

Step 1: Find the prime factorization of 6574

6574 = 2 x 19 x 173

Step 2: Find the prime factorization of 6580

6580 = 2 x 2 x 5 x 7 x 47

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

LCM = 21628460 = 2 x 2 x 5 x 7 x 19 x 47 x 173

Step 4: Therefore, the least common multiple of 6574 and 6580 is 21628460.