Least Common Multiple of 6670 and 6674

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 6674 the smallest integer that is 22257790 that is divisible by both numbers.

Least Common Multiple (LCM) of 6670 and 6674 is 22257790.

LCM(6670,6674) = 22257790

LCM of 6670 and 6674

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

LCM of:
and

Least Common Multiple of 6670 and 6674

LCM of 6670 and 6674 is 22257790

Least common multiple can be found by multiplying the highest exponent prime factors of 6670 and 6674. First we will calculate the prime factors of 6670 and 6674.

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 6674


2 6674
47 3337
71 71
1

Prime factors of 6674 are 2, 47,71. Prime factorization of 6674 in exponential form is:

6674 = 21×471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6670 and 6674.

LCM(6670,6674) = 21×51×231×291×471×711
LCM(6670,6674) = 22257790

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 6674

List of positive integer factors of 6674 that divides 6674 without a remainder.

1, 2, 47, 71, 94, 142, 3337, 6674

Least Common Multiple of 6670 and 6674 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 6674, than apply into the LCM equation.

GCF(6670,6674) = 2
LCM(6670,6674) = ( 6670 × 6674) / 2
LCM(6670,6674) = 44515580 / 2
LCM(6670,6674) = 22257790

Properties of LCM 6670 and 6674

(i) The LCM of 6674 and 6670 is associative

LCM of 6670 and 6674 = LCM of 6674 and 6670

Related Least Common Multiples of 6670

Related Least Common Multiples of 6674

Frequently Asked Questions on LCM of 6670 and 6674

1. What is the LCM of 6670 and 6674?

Answer: LCM of 6670 and 6674 is 22257790.

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 6674?

Answer: Factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674. There are 8 integers that are factors of 6674. The greatest factor of 6674 is 6674.

4. How to Find the LCM of 6670 and 6674?

Answer:

Least Common Multiple of 6670 and 6674 = 22257790

Step 1: Find the prime factorization of 6670

6670 = 2 x 5 x 23 x 29

Step 2: Find the prime factorization of 6674

6674 = 2 x 47 x 71

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

LCM = 22257790 = 2 x 5 x 23 x 29 x 47 x 71

Step 4: Therefore, the least common multiple of 6670 and 6674 is 22257790.