Least Common Multiple of 6632 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 6632 and 6633 the smallest integer that is 43990056 that is divisible by both numbers.

Least Common Multiple (LCM) of 6632 and 6633 is 43990056.

LCM(6632,6633) = 43990056

LCM of 6632 and 6633

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

LCM of:
and

Least Common Multiple of 6632 and 6633

LCM of 6632 and 6633 is 43990056

Least common multiple can be found by multiplying the highest exponent prime factors of 6632 and 6633. First we will calculate the prime factors of 6632 and 6633.

Prime Factorization of 6632


2 6632
2 3316
2 1658
829 829
1

Prime factors of 6632 are 2,829. Prime factorization of 6632 in exponential form is:

6632 = 23×8291

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 6632 and 6633.

LCM(6632,6633) = 23×32×111×671×8291
LCM(6632,6633) = 43990056

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1, 2, 4, 8, 829, 1658, 3316, 6632

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 6632 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 6632 and 6633, than apply into the LCM equation.

GCF(6632,6633) = 1
LCM(6632,6633) = ( 6632 × 6633) / 1
LCM(6632,6633) = 43990056 / 1
LCM(6632,6633) = 43990056

Properties of LCM 6632 and 6633

(i) The LCM of 6633 and 6632 is associative

LCM of 6632 and 6633 = LCM of 6633 and 6632

Related Least Common Multiples of 6632

Related Least Common Multiples of 6633

Frequently Asked Questions on LCM of 6632 and 6633

1. What is the LCM of 6632 and 6633?

Answer: LCM of 6632 and 6633 is 43990056.

2. What are the Factors of 6632?

Answer: Factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632. There are 8 integers that are factors of 6632. The greatest factor of 6632 is 6632.

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 6632 and 6633?

Answer:

Least Common Multiple of 6632 and 6633 = 43990056

Step 1: Find the prime factorization of 6632

6632 = 2 x 2 x 2 x 829

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 = 43990056 = 2 x 2 x 2 x 3 x 3 x 11 x 67 x 829

Step 4: Therefore, the least common multiple of 6632 and 6633 is 43990056.