Least Common Multiple of 2736 and 2744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2736 and 2744 the smallest integer that is 938448 that is divisible by both numbers.

Least Common Multiple (LCM) of 2736 and 2744 is 938448.

LCM(2736,2744) = 938448

LCM of 2736 and 2744

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

LCM of:
and

Least Common Multiple of 2736 and 2744

LCM of 2736 and 2744 is 938448

Least common multiple can be found by multiplying the highest exponent prime factors of 2736 and 2744. First we will calculate the prime factors of 2736 and 2744.

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

Prime Factorization of 2744


2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 2744 are 2,7. Prime factorization of 2744 in exponential form is:

2744 = 23×73

Now multiplying the highest exponent prime factors to calculate the LCM of 2736 and 2744.

LCM(2736,2744) = 24×32×73×191
LCM(2736,2744) = 938448

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

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744

Least Common Multiple of 2736 and 2744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2736 and 2744, than apply into the LCM equation.

GCF(2736,2744) = 8
LCM(2736,2744) = ( 2736 × 2744) / 8
LCM(2736,2744) = 7507584 / 8
LCM(2736,2744) = 938448

Properties of LCM 2736 and 2744

(i) The LCM of 2744 and 2736 is associative

LCM of 2736 and 2744 = LCM of 2744 and 2736

Related Least Common Multiples of 2736

Related Least Common Multiples of 2744

Frequently Asked Questions on LCM of 2736 and 2744

1. What is the LCM of 2736 and 2744?

Answer: LCM of 2736 and 2744 is 938448.

2. 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.

3. What are the Factors of 2744?

Answer: Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744. There are 16 integers that are factors of 2744. The greatest factor of 2744 is 2744.

4. How to Find the LCM of 2736 and 2744?

Answer:

Least Common Multiple of 2736 and 2744 = 938448

Step 1: Find the prime factorization of 2736

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

Step 2: Find the prime factorization of 2744

2744 = 2 x 2 x 2 x 7 x 7 x 7

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

LCM = 938448 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 2736 and 2744 is 938448.