Least Common Multiple of 2729 and 2733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2729 and 2733 the smallest integer that is 7458357 that is divisible by both numbers.

Least Common Multiple (LCM) of 2729 and 2733 is 7458357.

LCM(2729,2733) = 7458357

LCM of 2729 and 2733

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

LCM of:
and

Least Common Multiple of 2729 and 2733

LCM of 2729 and 2733 is 7458357

Least common multiple can be found by multiplying the highest exponent prime factors of 2729 and 2733. First we will calculate the prime factors of 2729 and 2733.

Prime Factorization of 2729


2729 2729
1

Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:

2729 = 27291

Prime Factorization of 2733


3 2733
911 911
1

Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:

2733 = 31×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 2729 and 2733.

LCM(2729,2733) = 31×9111×27291
LCM(2729,2733) = 7458357

Factors of 2729

List of positive integer factors of 2729 that divides 2729 without a remainder.

1, 2729

Factors of 2733

List of positive integer factors of 2733 that divides 2733 without a remainder.

1, 3, 911, 2733

Least Common Multiple of 2729 and 2733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2729 and 2733, than apply into the LCM equation.

GCF(2729,2733) = 1
LCM(2729,2733) = ( 2729 × 2733) / 1
LCM(2729,2733) = 7458357 / 1
LCM(2729,2733) = 7458357

Properties of LCM 2729 and 2733

(i) The LCM of 2733 and 2729 is associative

LCM of 2729 and 2733 = LCM of 2733 and 2729

Related Least Common Multiples of 2729

Related Least Common Multiples of 2733

Frequently Asked Questions on LCM of 2729 and 2733

1. What is the LCM of 2729 and 2733?

Answer: LCM of 2729 and 2733 is 7458357.

2. What are the Factors of 2729?

Answer: Factors of 2729 are 1, 2729. There are 2 integers that are factors of 2729. The greatest factor of 2729 is 2729.

3. What are the Factors of 2733?

Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.

4. How to Find the LCM of 2729 and 2733?

Answer:

Least Common Multiple of 2729 and 2733 = 7458357

Step 1: Find the prime factorization of 2729

2729 = 2729

Step 2: Find the prime factorization of 2733

2733 = 3 x 911

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

LCM = 7458357 = 3 x 911 x 2729

Step 4: Therefore, the least common multiple of 2729 and 2733 is 7458357.