Least Common Multiple of 6732 and 6736

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 6736 the smallest integer that is 11336688 that is divisible by both numbers.

Least Common Multiple (LCM) of 6732 and 6736 is 11336688.

LCM(6732,6736) = 11336688

LCM of 6732 and 6736

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

LCM of:
and

Least Common Multiple of 6732 and 6736

LCM of 6732 and 6736 is 11336688

Least common multiple can be found by multiplying the highest exponent prime factors of 6732 and 6736. First we will calculate the prime factors of 6732 and 6736.

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 6736


2 6736
2 3368
2 1684
2 842
421 421
1

Prime factors of 6736 are 2,421. Prime factorization of 6736 in exponential form is:

6736 = 24×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 6732 and 6736.

LCM(6732,6736) = 24×32×111×171×4211
LCM(6732,6736) = 11336688

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 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736

Least Common Multiple of 6732 and 6736 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 6736, than apply into the LCM equation.

GCF(6732,6736) = 4
LCM(6732,6736) = ( 6732 × 6736) / 4
LCM(6732,6736) = 45346752 / 4
LCM(6732,6736) = 11336688

Properties of LCM 6732 and 6736

(i) The LCM of 6736 and 6732 is associative

LCM of 6732 and 6736 = LCM of 6736 and 6732

Related Least Common Multiples of 6732

Related Least Common Multiples of 6736

Frequently Asked Questions on LCM of 6732 and 6736

1. What is the LCM of 6732 and 6736?

Answer: LCM of 6732 and 6736 is 11336688.

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 6736?

Answer: Factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736. There are 10 integers that are factors of 6736. The greatest factor of 6736 is 6736.

4. How to Find the LCM of 6732 and 6736?

Answer:

Least Common Multiple of 6732 and 6736 = 11336688

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 6736

6736 = 2 x 2 x 2 x 2 x 421

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

LCM = 11336688 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 421

Step 4: Therefore, the least common multiple of 6732 and 6736 is 11336688.