Least Common Multiple of 6727 and 6732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6727 and 6732 the smallest integer that is 45286164 that is divisible by both numbers.

Least Common Multiple (LCM) of 6727 and 6732 is 45286164.

LCM(6727,6732) = 45286164

LCM of 6727 and 6732

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

LCM of:
and

Least Common Multiple of 6727 and 6732

LCM of 6727 and 6732 is 45286164

Least common multiple can be found by multiplying the highest exponent prime factors of 6727 and 6732. First we will calculate the prime factors of 6727 and 6732.

Prime Factorization of 6727


7 6727
31 961
31 31
1

Prime factors of 6727 are 7,31. Prime factorization of 6727 in exponential form is:

6727 = 71×312

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6727 and 6732.

LCM(6727,6732) = 22×32×71×111×171×312
LCM(6727,6732) = 45286164

Factors of 6727

List of positive integer factors of 6727 that divides 6727 without a remainder.

1, 7, 31, 217, 961, 6727

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

Least Common Multiple of 6727 and 6732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6727 and 6732, than apply into the LCM equation.

GCF(6727,6732) = 1
LCM(6727,6732) = ( 6727 × 6732) / 1
LCM(6727,6732) = 45286164 / 1
LCM(6727,6732) = 45286164

Properties of LCM 6727 and 6732

(i) The LCM of 6732 and 6727 is associative

LCM of 6727 and 6732 = LCM of 6732 and 6727

Related Least Common Multiples of 6727

Related Least Common Multiples of 6732

Frequently Asked Questions on LCM of 6727 and 6732

1. What is the LCM of 6727 and 6732?

Answer: LCM of 6727 and 6732 is 45286164.

2. What are the Factors of 6727?

Answer: Factors of 6727 are 1, 7, 31, 217, 961, 6727. There are 6 integers that are factors of 6727. The greatest factor of 6727 is 6727.

3. 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.

4. How to Find the LCM of 6727 and 6732?

Answer:

Least Common Multiple of 6727 and 6732 = 45286164

Step 1: Find the prime factorization of 6727

6727 = 7 x 31 x 31

Step 2: Find the prime factorization of 6732

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

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

LCM = 45286164 = 2 x 2 x 3 x 3 x 7 x 11 x 17 x 31 x 31

Step 4: Therefore, the least common multiple of 6727 and 6732 is 45286164.