Least Common Multiple of 2729 and 2736

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 2736 the smallest integer that is 7466544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2729 and 2736 is 7466544.

LCM(2729,2736) = 7466544

LCM of 2729 and 2736

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

LCM of:
and

Least Common Multiple of 2729 and 2736

LCM of 2729 and 2736 is 7466544

Least common multiple can be found by multiplying the highest exponent prime factors of 2729 and 2736. First we will calculate the prime factors of 2729 and 2736.

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 2736


2 2736
2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 2736 are 2, 3,19. Prime factorization of 2736 in exponential form is:

2736 = 24×32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2729 and 2736.

LCM(2729,2736) = 24×32×191×27291
LCM(2729,2736) = 7466544

Factors of 2729

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

1, 2729

Factors of 2736

List of positive integer factors of 2736 that divides 2736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736

Least Common Multiple of 2729 and 2736 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 2736, than apply into the LCM equation.

GCF(2729,2736) = 1
LCM(2729,2736) = ( 2729 × 2736) / 1
LCM(2729,2736) = 7466544 / 1
LCM(2729,2736) = 7466544

Properties of LCM 2729 and 2736

(i) The LCM of 2736 and 2729 is associative

LCM of 2729 and 2736 = LCM of 2736 and 2729

Related Least Common Multiples of 2729

Related Least Common Multiples of 2736

Frequently Asked Questions on LCM of 2729 and 2736

1. What is the LCM of 2729 and 2736?

Answer: LCM of 2729 and 2736 is 7466544.

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 2736?

Answer: Factors of 2736 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736. There are 30 integers that are factors of 2736. The greatest factor of 2736 is 2736.

4. How to Find the LCM of 2729 and 2736?

Answer:

Least Common Multiple of 2729 and 2736 = 7466544

Step 1: Find the prime factorization of 2729

2729 = 2729

Step 2: Find the prime factorization of 2736

2736 = 2 x 2 x 2 x 2 x 3 x 3 x 19

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

LCM = 7466544 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 2729

Step 4: Therefore, the least common multiple of 2729 and 2736 is 7466544.