Least Common Multiple of 6633 and 6639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6633 and 6639 the smallest integer that is 14678829 that is divisible by both numbers.

Least Common Multiple (LCM) of 6633 and 6639 is 14678829.

LCM(6633,6639) = 14678829

LCM of 6633 and 6639

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

LCM of:
and

Least Common Multiple of 6633 and 6639

LCM of 6633 and 6639 is 14678829

Least common multiple can be found by multiplying the highest exponent prime factors of 6633 and 6639. First we will calculate the prime factors of 6633 and 6639.

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

Prime Factorization of 6639


3 6639
2213 2213
1

Prime factors of 6639 are 3,2213. Prime factorization of 6639 in exponential form is:

6639 = 31×22131

Now multiplying the highest exponent prime factors to calculate the LCM of 6633 and 6639.

LCM(6633,6639) = 32×111×671×22131
LCM(6633,6639) = 14678829

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

Factors of 6639

List of positive integer factors of 6639 that divides 6639 without a remainder.

1, 3, 2213, 6639

Least Common Multiple of 6633 and 6639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6633 and 6639, than apply into the LCM equation.

GCF(6633,6639) = 3
LCM(6633,6639) = ( 6633 × 6639) / 3
LCM(6633,6639) = 44036487 / 3
LCM(6633,6639) = 14678829

Properties of LCM 6633 and 6639

(i) The LCM of 6639 and 6633 is associative

LCM of 6633 and 6639 = LCM of 6639 and 6633

Related Least Common Multiples of 6633

Related Least Common Multiples of 6639

Frequently Asked Questions on LCM of 6633 and 6639

1. What is the LCM of 6633 and 6639?

Answer: LCM of 6633 and 6639 is 14678829.

2. 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.

3. What are the Factors of 6639?

Answer: Factors of 6639 are 1, 3, 2213, 6639. There are 4 integers that are factors of 6639. The greatest factor of 6639 is 6639.

4. How to Find the LCM of 6633 and 6639?

Answer:

Least Common Multiple of 6633 and 6639 = 14678829

Step 1: Find the prime factorization of 6633

6633 = 3 x 3 x 11 x 67

Step 2: Find the prime factorization of 6639

6639 = 3 x 2213

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

LCM = 14678829 = 3 x 3 x 11 x 67 x 2213

Step 4: Therefore, the least common multiple of 6633 and 6639 is 14678829.