Least Common Multiple of 2730 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 2730 and 2736 the smallest integer that is 1244880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2730 and 2736 is 1244880.

LCM(2730,2736) = 1244880

LCM of 2730 and 2736

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

LCM of:
and

Least Common Multiple of 2730 and 2736

LCM of 2730 and 2736 is 1244880

Least common multiple can be found by multiplying the highest exponent prime factors of 2730 and 2736. First we will calculate the prime factors of 2730 and 2736.

Prime Factorization of 2730


2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 2730 are 2, 3, 5, 7,13. Prime factorization of 2730 in exponential form is:

2730 = 21×31×51×71×131

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 2730 and 2736.

LCM(2730,2736) = 24×32×51×71×131×191
LCM(2730,2736) = 1244880

Factors of 2730

List of positive integer factors of 2730 that divides 2730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730

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 2730 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 2730 and 2736, than apply into the LCM equation.

GCF(2730,2736) = 6
LCM(2730,2736) = ( 2730 × 2736) / 6
LCM(2730,2736) = 7469280 / 6
LCM(2730,2736) = 1244880

Properties of LCM 2730 and 2736

(i) The LCM of 2736 and 2730 is associative

LCM of 2730 and 2736 = LCM of 2736 and 2730

Related Least Common Multiples of 2730

Related Least Common Multiples of 2736

Frequently Asked Questions on LCM of 2730 and 2736

1. What is the LCM of 2730 and 2736?

Answer: LCM of 2730 and 2736 is 1244880.

2. What are the Factors of 2730?

Answer: Factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730. There are 32 integers that are factors of 2730. The greatest factor of 2730 is 2730.

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 2730 and 2736?

Answer:

Least Common Multiple of 2730 and 2736 = 1244880

Step 1: Find the prime factorization of 2730

2730 = 2 x 3 x 5 x 7 x 13

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 = 1244880 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 2730 and 2736 is 1244880.