Least Common Multiple of 6627 and 6634

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 6634 the smallest integer that is 43963518 that is divisible by both numbers.

Least Common Multiple (LCM) of 6627 and 6634 is 43963518.

LCM(6627,6634) = 43963518

LCM of 6627 and 6634

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

LCM of:
and

Least Common Multiple of 6627 and 6634

LCM of 6627 and 6634 is 43963518

Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6634. First we will calculate the prime factors of 6627 and 6634.

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 6634


2 6634
31 3317
107 107
1

Prime factors of 6634 are 2, 31,107. Prime factorization of 6634 in exponential form is:

6634 = 21×311×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6634.

LCM(6627,6634) = 21×31×311×472×1071
LCM(6627,6634) = 43963518

Factors of 6627

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

1, 3, 47, 141, 2209, 6627

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1, 2, 31, 62, 107, 214, 3317, 6634

Least Common Multiple of 6627 and 6634 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 6634, than apply into the LCM equation.

GCF(6627,6634) = 1
LCM(6627,6634) = ( 6627 × 6634) / 1
LCM(6627,6634) = 43963518 / 1
LCM(6627,6634) = 43963518

Properties of LCM 6627 and 6634

(i) The LCM of 6634 and 6627 is associative

LCM of 6627 and 6634 = LCM of 6634 and 6627

Related Least Common Multiples of 6627

Related Least Common Multiples of 6634

Frequently Asked Questions on LCM of 6627 and 6634

1. What is the LCM of 6627 and 6634?

Answer: LCM of 6627 and 6634 is 43963518.

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 6634?

Answer: Factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634. There are 8 integers that are factors of 6634. The greatest factor of 6634 is 6634.

4. How to Find the LCM of 6627 and 6634?

Answer:

Least Common Multiple of 6627 and 6634 = 43963518

Step 1: Find the prime factorization of 6627

6627 = 3 x 47 x 47

Step 2: Find the prime factorization of 6634

6634 = 2 x 31 x 107

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

LCM = 43963518 = 2 x 3 x 31 x 47 x 47 x 107

Step 4: Therefore, the least common multiple of 6627 and 6634 is 43963518.