Least Common Multiple of 2729 and 2734

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 2734 the smallest integer that is 7461086 that is divisible by both numbers.

Least Common Multiple (LCM) of 2729 and 2734 is 7461086.

LCM(2729,2734) = 7461086

LCM of 2729 and 2734

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

LCM of:
and

Least Common Multiple of 2729 and 2734

LCM of 2729 and 2734 is 7461086

Least common multiple can be found by multiplying the highest exponent prime factors of 2729 and 2734. First we will calculate the prime factors of 2729 and 2734.

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 2734


2 2734
1367 1367
1

Prime factors of 2734 are 2,1367. Prime factorization of 2734 in exponential form is:

2734 = 21×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 2729 and 2734.

LCM(2729,2734) = 21×13671×27291
LCM(2729,2734) = 7461086

Factors of 2729

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

1, 2729

Factors of 2734

List of positive integer factors of 2734 that divides 2734 without a remainder.

1, 2, 1367, 2734

Least Common Multiple of 2729 and 2734 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 2734, than apply into the LCM equation.

GCF(2729,2734) = 1
LCM(2729,2734) = ( 2729 × 2734) / 1
LCM(2729,2734) = 7461086 / 1
LCM(2729,2734) = 7461086

Properties of LCM 2729 and 2734

(i) The LCM of 2734 and 2729 is associative

LCM of 2729 and 2734 = LCM of 2734 and 2729

Related Least Common Multiples of 2729

Related Least Common Multiples of 2734

Frequently Asked Questions on LCM of 2729 and 2734

1. What is the LCM of 2729 and 2734?

Answer: LCM of 2729 and 2734 is 7461086.

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 2734?

Answer: Factors of 2734 are 1, 2, 1367, 2734. There are 4 integers that are factors of 2734. The greatest factor of 2734 is 2734.

4. How to Find the LCM of 2729 and 2734?

Answer:

Least Common Multiple of 2729 and 2734 = 7461086

Step 1: Find the prime factorization of 2729

2729 = 2729

Step 2: Find the prime factorization of 2734

2734 = 2 x 1367

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

LCM = 7461086 = 2 x 1367 x 2729

Step 4: Therefore, the least common multiple of 2729 and 2734 is 7461086.