Least Common Multiple of 6670 and 6677

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 6677 the smallest integer that is 44535590 that is divisible by both numbers.

Least Common Multiple (LCM) of 6670 and 6677 is 44535590.

LCM(6670,6677) = 44535590

LCM of 6670 and 6677

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

LCM of:
and

Least Common Multiple of 6670 and 6677

LCM of 6670 and 6677 is 44535590

Least common multiple can be found by multiplying the highest exponent prime factors of 6670 and 6677. First we will calculate the prime factors of 6670 and 6677.

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 6677


11 6677
607 607
1

Prime factors of 6677 are 11,607. Prime factorization of 6677 in exponential form is:

6677 = 111×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 6670 and 6677.

LCM(6670,6677) = 21×51×111×231×291×6071
LCM(6670,6677) = 44535590

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 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1, 11, 607, 6677

Least Common Multiple of 6670 and 6677 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 6677, than apply into the LCM equation.

GCF(6670,6677) = 1
LCM(6670,6677) = ( 6670 × 6677) / 1
LCM(6670,6677) = 44535590 / 1
LCM(6670,6677) = 44535590

Properties of LCM 6670 and 6677

(i) The LCM of 6677 and 6670 is associative

LCM of 6670 and 6677 = LCM of 6677 and 6670

Related Least Common Multiples of 6670

Related Least Common Multiples of 6677

Frequently Asked Questions on LCM of 6670 and 6677

1. What is the LCM of 6670 and 6677?

Answer: LCM of 6670 and 6677 is 44535590.

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 6677?

Answer: Factors of 6677 are 1, 11, 607, 6677. There are 4 integers that are factors of 6677. The greatest factor of 6677 is 6677.

4. How to Find the LCM of 6670 and 6677?

Answer:

Least Common Multiple of 6670 and 6677 = 44535590

Step 1: Find the prime factorization of 6670

6670 = 2 x 5 x 23 x 29

Step 2: Find the prime factorization of 6677

6677 = 11 x 607

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

LCM = 44535590 = 2 x 5 x 11 x 23 x 29 x 607

Step 4: Therefore, the least common multiple of 6670 and 6677 is 44535590.