Least Common Multiple of 6732 and 6737

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 6737 the smallest integer that is 45353484 that is divisible by both numbers.

Least Common Multiple (LCM) of 6732 and 6737 is 45353484.

LCM(6732,6737) = 45353484

LCM of 6732 and 6737

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

LCM of:
and

Least Common Multiple of 6732 and 6737

LCM of 6732 and 6737 is 45353484

Least common multiple can be found by multiplying the highest exponent prime factors of 6732 and 6737. First we will calculate the prime factors of 6732 and 6737.

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 6737


6737 6737
1

Prime factors of 6737 are 6737. Prime factorization of 6737 in exponential form is:

6737 = 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 6732 and 6737.

LCM(6732,6737) = 22×32×111×171×67371
LCM(6732,6737) = 45353484

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 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

1, 6737

Least Common Multiple of 6732 and 6737 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 6737, than apply into the LCM equation.

GCF(6732,6737) = 1
LCM(6732,6737) = ( 6732 × 6737) / 1
LCM(6732,6737) = 45353484 / 1
LCM(6732,6737) = 45353484

Properties of LCM 6732 and 6737

(i) The LCM of 6737 and 6732 is associative

LCM of 6732 and 6737 = LCM of 6737 and 6732

Related Least Common Multiples of 6732

Related Least Common Multiples of 6737

Frequently Asked Questions on LCM of 6732 and 6737

1. What is the LCM of 6732 and 6737?

Answer: LCM of 6732 and 6737 is 45353484.

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 6737?

Answer: Factors of 6737 are 1, 6737. There are 2 integers that are factors of 6737. The greatest factor of 6737 is 6737.

4. How to Find the LCM of 6732 and 6737?

Answer:

Least Common Multiple of 6732 and 6737 = 45353484

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 6737

6737 = 6737

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

LCM = 45353484 = 2 x 2 x 3 x 3 x 11 x 17 x 6737

Step 4: Therefore, the least common multiple of 6732 and 6737 is 45353484.