Least Common Multiple of 6627 and 6633

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 6633 the smallest integer that is 14652297 that is divisible by both numbers.

Least Common Multiple (LCM) of 6627 and 6633 is 14652297.

LCM(6627,6633) = 14652297

LCM of 6627 and 6633

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

LCM of:
and

Least Common Multiple of 6627 and 6633

LCM of 6627 and 6633 is 14652297

Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6633. First we will calculate the prime factors of 6627 and 6633.

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 6633


3 6633
3 2211
11 737
67 67
1

Prime factors of 6633 are 3, 11,67. Prime factorization of 6633 in exponential form is:

6633 = 32×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6633.

LCM(6627,6633) = 32×111×472×671
LCM(6627,6633) = 14652297

Factors of 6627

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

1, 3, 47, 141, 2209, 6627

Factors of 6633

List of positive integer factors of 6633 that divides 6633 without a remainder.

1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633

Least Common Multiple of 6627 and 6633 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 6633, than apply into the LCM equation.

GCF(6627,6633) = 3
LCM(6627,6633) = ( 6627 × 6633) / 3
LCM(6627,6633) = 43956891 / 3
LCM(6627,6633) = 14652297

Properties of LCM 6627 and 6633

(i) The LCM of 6633 and 6627 is associative

LCM of 6627 and 6633 = LCM of 6633 and 6627

Related Least Common Multiples of 6627

Related Least Common Multiples of 6633

Frequently Asked Questions on LCM of 6627 and 6633

1. What is the LCM of 6627 and 6633?

Answer: LCM of 6627 and 6633 is 14652297.

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 6633?

Answer: Factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633. There are 12 integers that are factors of 6633. The greatest factor of 6633 is 6633.

4. How to Find the LCM of 6627 and 6633?

Answer:

Least Common Multiple of 6627 and 6633 = 14652297

Step 1: Find the prime factorization of 6627

6627 = 3 x 47 x 47

Step 2: Find the prime factorization of 6633

6633 = 3 x 3 x 11 x 67

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

LCM = 14652297 = 3 x 3 x 11 x 47 x 47 x 67

Step 4: Therefore, the least common multiple of 6627 and 6633 is 14652297.