Least Common Multiple of 6732 and 6734

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 6734 the smallest integer that is 22666644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6732 and 6734 is 22666644.

LCM(6732,6734) = 22666644

LCM of 6732 and 6734

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

LCM of:
and

Least Common Multiple of 6732 and 6734

LCM of 6732 and 6734 is 22666644

Least common multiple can be found by multiplying the highest exponent prime factors of 6732 and 6734. First we will calculate the prime factors of 6732 and 6734.

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 6734


2 6734
7 3367
13 481
37 37
1

Prime factors of 6734 are 2, 7, 13,37. Prime factorization of 6734 in exponential form is:

6734 = 21×71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6732 and 6734.

LCM(6732,6734) = 22×32×71×111×131×171×371
LCM(6732,6734) = 22666644

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 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734

Least Common Multiple of 6732 and 6734 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 6734, than apply into the LCM equation.

GCF(6732,6734) = 2
LCM(6732,6734) = ( 6732 × 6734) / 2
LCM(6732,6734) = 45333288 / 2
LCM(6732,6734) = 22666644

Properties of LCM 6732 and 6734

(i) The LCM of 6734 and 6732 is associative

LCM of 6732 and 6734 = LCM of 6734 and 6732

Related Least Common Multiples of 6732

Related Least Common Multiples of 6734

Frequently Asked Questions on LCM of 6732 and 6734

1. What is the LCM of 6732 and 6734?

Answer: LCM of 6732 and 6734 is 22666644.

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 6734?

Answer: Factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734. There are 16 integers that are factors of 6734. The greatest factor of 6734 is 6734.

4. How to Find the LCM of 6732 and 6734?

Answer:

Least Common Multiple of 6732 and 6734 = 22666644

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 6734

6734 = 2 x 7 x 13 x 37

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

LCM = 22666644 = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 6732 and 6734 is 22666644.