Least Common Multiple of 2724 and 2729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2724 and 2729 the smallest integer that is 7433796 that is divisible by both numbers.

Least Common Multiple (LCM) of 2724 and 2729 is 7433796.

LCM(2724,2729) = 7433796

LCM of 2724 and 2729

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

LCM of:
and

Least Common Multiple of 2724 and 2729

LCM of 2724 and 2729 is 7433796

Least common multiple can be found by multiplying the highest exponent prime factors of 2724 and 2729. First we will calculate the prime factors of 2724 and 2729.

Prime Factorization of 2724


2 2724
2 1362
3 681
227 227
1

Prime factors of 2724 are 2, 3,227. Prime factorization of 2724 in exponential form is:

2724 = 22×31×2271

Prime Factorization of 2729


2729 2729
1

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

2729 = 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 2724 and 2729.

LCM(2724,2729) = 22×31×2271×27291
LCM(2724,2729) = 7433796

Factors of 2724

List of positive integer factors of 2724 that divides 2724 without a remainder.

1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724

Factors of 2729

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

1, 2729

Least Common Multiple of 2724 and 2729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2724 and 2729, than apply into the LCM equation.

GCF(2724,2729) = 1
LCM(2724,2729) = ( 2724 × 2729) / 1
LCM(2724,2729) = 7433796 / 1
LCM(2724,2729) = 7433796

Properties of LCM 2724 and 2729

(i) The LCM of 2729 and 2724 is associative

LCM of 2724 and 2729 = LCM of 2729 and 2724

Related Least Common Multiples of 2724

Related Least Common Multiples of 2729

Frequently Asked Questions on LCM of 2724 and 2729

1. What is the LCM of 2724 and 2729?

Answer: LCM of 2724 and 2729 is 7433796.

2. What are the Factors of 2724?

Answer: Factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724. There are 12 integers that are factors of 2724. The greatest factor of 2724 is 2724.

3. 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.

4. How to Find the LCM of 2724 and 2729?

Answer:

Least Common Multiple of 2724 and 2729 = 7433796

Step 1: Find the prime factorization of 2724

2724 = 2 x 2 x 3 x 227

Step 2: Find the prime factorization of 2729

2729 = 2729

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

LCM = 7433796 = 2 x 2 x 3 x 227 x 2729

Step 4: Therefore, the least common multiple of 2724 and 2729 is 7433796.