Least Common Multiple of 2728 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 2728 and 2736 the smallest integer that is 932976 that is divisible by both numbers.

Least Common Multiple (LCM) of 2728 and 2736 is 932976.

LCM(2728,2736) = 932976

LCM of 2728 and 2736

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

LCM of:
and

Least Common Multiple of 2728 and 2736

LCM of 2728 and 2736 is 932976

Least common multiple can be found by multiplying the highest exponent prime factors of 2728 and 2736. First we will calculate the prime factors of 2728 and 2736.

Prime Factorization of 2728


2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 2728 are 2, 11,31. Prime factorization of 2728 in exponential form is:

2728 = 23×111×311

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 2728 and 2736.

LCM(2728,2736) = 24×32×111×191×311
LCM(2728,2736) = 932976

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728

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 2728 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 2728 and 2736, than apply into the LCM equation.

GCF(2728,2736) = 8
LCM(2728,2736) = ( 2728 × 2736) / 8
LCM(2728,2736) = 7463808 / 8
LCM(2728,2736) = 932976

Properties of LCM 2728 and 2736

(i) The LCM of 2736 and 2728 is associative

LCM of 2728 and 2736 = LCM of 2736 and 2728

Related Least Common Multiples of 2728

Related Least Common Multiples of 2736

Frequently Asked Questions on LCM of 2728 and 2736

1. What is the LCM of 2728 and 2736?

Answer: LCM of 2728 and 2736 is 932976.

2. What are the Factors of 2728?

Answer: Factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728. There are 16 integers that are factors of 2728. The greatest factor of 2728 is 2728.

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 2728 and 2736?

Answer:

Least Common Multiple of 2728 and 2736 = 932976

Step 1: Find the prime factorization of 2728

2728 = 2 x 2 x 2 x 11 x 31

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 = 932976 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 2728 and 2736 is 932976.