Least Common Multiple of 6627 and 6635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6627 and 6635 the smallest integer that is 43970145 that is divisible by both numbers.

Least Common Multiple (LCM) of 6627 and 6635 is 43970145.

LCM(6627,6635) = 43970145

LCM of 6627 and 6635

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

LCM of:
and

Least Common Multiple of 6627 and 6635

LCM of 6627 and 6635 is 43970145

Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6635. First we will calculate the prime factors of 6627 and 6635.

Prime Factorization of 6627


3 6627
47 2209
47 47
1

Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:

6627 = 31×472

Prime Factorization of 6635


5 6635
1327 1327
1

Prime factors of 6635 are 5,1327. Prime factorization of 6635 in exponential form is:

6635 = 51×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6635.

LCM(6627,6635) = 31×51×472×13271
LCM(6627,6635) = 43970145

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1, 3, 47, 141, 2209, 6627

Factors of 6635

List of positive integer factors of 6635 that divides 6635 without a remainder.

1, 5, 1327, 6635

Least Common Multiple of 6627 and 6635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6627 and 6635, than apply into the LCM equation.

GCF(6627,6635) = 1
LCM(6627,6635) = ( 6627 × 6635) / 1
LCM(6627,6635) = 43970145 / 1
LCM(6627,6635) = 43970145

Properties of LCM 6627 and 6635

(i) The LCM of 6635 and 6627 is associative

LCM of 6627 and 6635 = LCM of 6635 and 6627

Related Least Common Multiples of 6627

Related Least Common Multiples of 6635

Frequently Asked Questions on LCM of 6627 and 6635

1. What is the LCM of 6627 and 6635?

Answer: LCM of 6627 and 6635 is 43970145.

2. What are the Factors of 6627?

Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.

3. What are the Factors of 6635?

Answer: Factors of 6635 are 1, 5, 1327, 6635. There are 4 integers that are factors of 6635. The greatest factor of 6635 is 6635.

4. How to Find the LCM of 6627 and 6635?

Answer:

Least Common Multiple of 6627 and 6635 = 43970145

Step 1: Find the prime factorization of 6627

6627 = 3 x 47 x 47

Step 2: Find the prime factorization of 6635

6635 = 5 x 1327

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

LCM = 43970145 = 3 x 5 x 47 x 47 x 1327

Step 4: Therefore, the least common multiple of 6627 and 6635 is 43970145.