Least Common Multiple of 6732 and 6733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6732 and 6733 the smallest integer that is 45326556 that is divisible by both numbers.

Least Common Multiple (LCM) of 6732 and 6733 is 45326556.

LCM(6732,6733) = 45326556

LCM of 6732 and 6733

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

LCM of:
and

Least Common Multiple of 6732 and 6733

LCM of 6732 and 6733 is 45326556

Least common multiple can be found by multiplying the highest exponent prime factors of 6732 and 6733. First we will calculate the prime factors of 6732 and 6733.

Prime Factorization of 6732


2 6732
2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 6732 are 2, 3, 11,17. Prime factorization of 6732 in exponential form is:

6732 = 22×32×111×171

Prime Factorization of 6733


6733 6733
1

Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:

6733 = 67331

Now multiplying the highest exponent prime factors to calculate the LCM of 6732 and 6733.

LCM(6732,6733) = 22×32×111×171×67331
LCM(6732,6733) = 45326556

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732

Factors of 6733

List of positive integer factors of 6733 that divides 6733 without a remainder.

1, 6733

Least Common Multiple of 6732 and 6733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6732 and 6733, than apply into the LCM equation.

GCF(6732,6733) = 1
LCM(6732,6733) = ( 6732 × 6733) / 1
LCM(6732,6733) = 45326556 / 1
LCM(6732,6733) = 45326556

Properties of LCM 6732 and 6733

(i) The LCM of 6733 and 6732 is associative

LCM of 6732 and 6733 = LCM of 6733 and 6732

Related Least Common Multiples of 6732

Related Least Common Multiples of 6733

Frequently Asked Questions on LCM of 6732 and 6733

1. What is the LCM of 6732 and 6733?

Answer: LCM of 6732 and 6733 is 45326556.

2. What are the Factors of 6732?

Answer: Factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732. There are 36 integers that are factors of 6732. The greatest factor of 6732 is 6732.

3. What are the Factors of 6733?

Answer: Factors of 6733 are 1, 6733. There are 2 integers that are factors of 6733. The greatest factor of 6733 is 6733.

4. How to Find the LCM of 6732 and 6733?

Answer:

Least Common Multiple of 6732 and 6733 = 45326556

Step 1: Find the prime factorization of 6732

6732 = 2 x 2 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 6733

6733 = 6733

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

LCM = 45326556 = 2 x 2 x 3 x 3 x 11 x 17 x 6733

Step 4: Therefore, the least common multiple of 6732 and 6733 is 45326556.