Least Common Multiple of 2736 and 2743

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 2743 the smallest integer that is 7504848 that is divisible by both numbers.

Least Common Multiple (LCM) of 2736 and 2743 is 7504848.

LCM(2736,2743) = 7504848

LCM of 2736 and 2743

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

LCM of:
and

Least Common Multiple of 2736 and 2743

LCM of 2736 and 2743 is 7504848

Least common multiple can be found by multiplying the highest exponent prime factors of 2736 and 2743. First we will calculate the prime factors of 2736 and 2743.

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 2743


13 2743
211 211
1

Prime factors of 2743 are 13,211. Prime factorization of 2743 in exponential form is:

2743 = 131×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2736 and 2743.

LCM(2736,2743) = 24×32×131×191×2111
LCM(2736,2743) = 7504848

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 2743

List of positive integer factors of 2743 that divides 2743 without a remainder.

1, 13, 211, 2743

Least Common Multiple of 2736 and 2743 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 2743, than apply into the LCM equation.

GCF(2736,2743) = 1
LCM(2736,2743) = ( 2736 × 2743) / 1
LCM(2736,2743) = 7504848 / 1
LCM(2736,2743) = 7504848

Properties of LCM 2736 and 2743

(i) The LCM of 2743 and 2736 is associative

LCM of 2736 and 2743 = LCM of 2743 and 2736

Related Least Common Multiples of 2736

Related Least Common Multiples of 2743

Frequently Asked Questions on LCM of 2736 and 2743

1. What is the LCM of 2736 and 2743?

Answer: LCM of 2736 and 2743 is 7504848.

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 2743?

Answer: Factors of 2743 are 1, 13, 211, 2743. There are 4 integers that are factors of 2743. The greatest factor of 2743 is 2743.

4. How to Find the LCM of 2736 and 2743?

Answer:

Least Common Multiple of 2736 and 2743 = 7504848

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 2743

2743 = 13 x 211

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

LCM = 7504848 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19 x 211

Step 4: Therefore, the least common multiple of 2736 and 2743 is 7504848.