Least Common Multiple of 6633 and 6640

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 6640 the smallest integer that is 44043120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6633 and 6640 is 44043120.

LCM(6633,6640) = 44043120

LCM of 6633 and 6640

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

LCM of:
and

Least Common Multiple of 6633 and 6640

LCM of 6633 and 6640 is 44043120

Least common multiple can be found by multiplying the highest exponent prime factors of 6633 and 6640. First we will calculate the prime factors of 6633 and 6640.

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 6640


2 6640
2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 6640 are 2, 5,83. Prime factorization of 6640 in exponential form is:

6640 = 24×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6633 and 6640.

LCM(6633,6640) = 24×32×51×111×671×831
LCM(6633,6640) = 44043120

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 6640

List of positive integer factors of 6640 that divides 6640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640

Least Common Multiple of 6633 and 6640 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 6640, than apply into the LCM equation.

GCF(6633,6640) = 1
LCM(6633,6640) = ( 6633 × 6640) / 1
LCM(6633,6640) = 44043120 / 1
LCM(6633,6640) = 44043120

Properties of LCM 6633 and 6640

(i) The LCM of 6640 and 6633 is associative

LCM of 6633 and 6640 = LCM of 6640 and 6633

Related Least Common Multiples of 6633

Related Least Common Multiples of 6640

Frequently Asked Questions on LCM of 6633 and 6640

1. What is the LCM of 6633 and 6640?

Answer: LCM of 6633 and 6640 is 44043120.

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 6640?

Answer: Factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. There are 20 integers that are factors of 6640. The greatest factor of 6640 is 6640.

4. How to Find the LCM of 6633 and 6640?

Answer:

Least Common Multiple of 6633 and 6640 = 44043120

Step 1: Find the prime factorization of 6633

6633 = 3 x 3 x 11 x 67

Step 2: Find the prime factorization of 6640

6640 = 2 x 2 x 2 x 2 x 5 x 83

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

LCM = 44043120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 67 x 83

Step 4: Therefore, the least common multiple of 6633 and 6640 is 44043120.