Least Common Multiple of 6732 and 6735

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 6735 the smallest integer that is 15113340 that is divisible by both numbers.

Least Common Multiple (LCM) of 6732 and 6735 is 15113340.

LCM(6732,6735) = 15113340

LCM of 6732 and 6735

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

LCM of:
and

Least Common Multiple of 6732 and 6735

LCM of 6732 and 6735 is 15113340

Least common multiple can be found by multiplying the highest exponent prime factors of 6732 and 6735. First we will calculate the prime factors of 6732 and 6735.

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 6735


3 6735
5 2245
449 449
1

Prime factors of 6735 are 3, 5,449. Prime factorization of 6735 in exponential form is:

6735 = 31×51×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 6732 and 6735.

LCM(6732,6735) = 22×32×51×111×171×4491
LCM(6732,6735) = 15113340

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 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1, 3, 5, 15, 449, 1347, 2245, 6735

Least Common Multiple of 6732 and 6735 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 6735, than apply into the LCM equation.

GCF(6732,6735) = 3
LCM(6732,6735) = ( 6732 × 6735) / 3
LCM(6732,6735) = 45340020 / 3
LCM(6732,6735) = 15113340

Properties of LCM 6732 and 6735

(i) The LCM of 6735 and 6732 is associative

LCM of 6732 and 6735 = LCM of 6735 and 6732

Related Least Common Multiples of 6732

Related Least Common Multiples of 6735

Frequently Asked Questions on LCM of 6732 and 6735

1. What is the LCM of 6732 and 6735?

Answer: LCM of 6732 and 6735 is 15113340.

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 6735?

Answer: Factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735. There are 8 integers that are factors of 6735. The greatest factor of 6735 is 6735.

4. How to Find the LCM of 6732 and 6735?

Answer:

Least Common Multiple of 6732 and 6735 = 15113340

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 6735

6735 = 3 x 5 x 449

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

LCM = 15113340 = 2 x 2 x 3 x 3 x 5 x 11 x 17 x 449

Step 4: Therefore, the least common multiple of 6732 and 6735 is 15113340.