Least Common Multiple of 2731 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 2731 and 2736 the smallest integer that is 7472016 that is divisible by both numbers.

Least Common Multiple (LCM) of 2731 and 2736 is 7472016.

LCM(2731,2736) = 7472016

LCM of 2731 and 2736

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

LCM of:
and

Least Common Multiple of 2731 and 2736

LCM of 2731 and 2736 is 7472016

Least common multiple can be found by multiplying the highest exponent prime factors of 2731 and 2736. First we will calculate the prime factors of 2731 and 2736.

Prime Factorization of 2731


2731 2731
1

Prime factors of 2731 are 2731. Prime factorization of 2731 in exponential form is:

2731 = 27311

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 2731 and 2736.

LCM(2731,2736) = 24×32×191×27311
LCM(2731,2736) = 7472016

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1, 2731

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 2731 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 2731 and 2736, than apply into the LCM equation.

GCF(2731,2736) = 1
LCM(2731,2736) = ( 2731 × 2736) / 1
LCM(2731,2736) = 7472016 / 1
LCM(2731,2736) = 7472016

Properties of LCM 2731 and 2736

(i) The LCM of 2736 and 2731 is associative

LCM of 2731 and 2736 = LCM of 2736 and 2731

Related Least Common Multiples of 2731

Related Least Common Multiples of 2736

Frequently Asked Questions on LCM of 2731 and 2736

1. What is the LCM of 2731 and 2736?

Answer: LCM of 2731 and 2736 is 7472016.

2. What are the Factors of 2731?

Answer: Factors of 2731 are 1, 2731. There are 2 integers that are factors of 2731. The greatest factor of 2731 is 2731.

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 2731 and 2736?

Answer:

Least Common Multiple of 2731 and 2736 = 7472016

Step 1: Find the prime factorization of 2731

2731 = 2731

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 = 7472016 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 2731

Step 4: Therefore, the least common multiple of 2731 and 2736 is 7472016.