Least Common Multiple of 6670 and 6678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6670 and 6678 the smallest integer that is 22271130 that is divisible by both numbers.

Least Common Multiple (LCM) of 6670 and 6678 is 22271130.

LCM(6670,6678) = 22271130

LCM of 6670 and 6678

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

LCM of:
and

Least Common Multiple of 6670 and 6678

LCM of 6670 and 6678 is 22271130

Least common multiple can be found by multiplying the highest exponent prime factors of 6670 and 6678. First we will calculate the prime factors of 6670 and 6678.

Prime Factorization of 6670


2 6670
5 3335
23 667
29 29
1

Prime factors of 6670 are 2, 5, 23,29. Prime factorization of 6670 in exponential form is:

6670 = 21×51×231×291

Prime Factorization of 6678


2 6678
3 3339
3 1113
7 371
53 53
1

Prime factors of 6678 are 2, 3, 7,53. Prime factorization of 6678 in exponential form is:

6678 = 21×32×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6670 and 6678.

LCM(6670,6678) = 21×32×51×71×231×291×531
LCM(6670,6678) = 22271130

Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670

Factors of 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678

Least Common Multiple of 6670 and 6678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6670 and 6678, than apply into the LCM equation.

GCF(6670,6678) = 2
LCM(6670,6678) = ( 6670 × 6678) / 2
LCM(6670,6678) = 44542260 / 2
LCM(6670,6678) = 22271130

Properties of LCM 6670 and 6678

(i) The LCM of 6678 and 6670 is associative

LCM of 6670 and 6678 = LCM of 6678 and 6670

Related Least Common Multiples of 6670

Related Least Common Multiples of 6678

Frequently Asked Questions on LCM of 6670 and 6678

1. What is the LCM of 6670 and 6678?

Answer: LCM of 6670 and 6678 is 22271130.

2. What are the Factors of 6670?

Answer: Factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670. There are 16 integers that are factors of 6670. The greatest factor of 6670 is 6670.

3. What are the Factors of 6678?

Answer: Factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678. There are 24 integers that are factors of 6678. The greatest factor of 6678 is 6678.

4. How to Find the LCM of 6670 and 6678?

Answer:

Least Common Multiple of 6670 and 6678 = 22271130

Step 1: Find the prime factorization of 6670

6670 = 2 x 5 x 23 x 29

Step 2: Find the prime factorization of 6678

6678 = 2 x 3 x 3 x 7 x 53

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

LCM = 22271130 = 2 x 3 x 3 x 5 x 7 x 23 x 29 x 53

Step 4: Therefore, the least common multiple of 6670 and 6678 is 22271130.