Least Common Multiple of 2736 and 2740

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 2740 the smallest integer that is 1874160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2736 and 2740 is 1874160.

LCM(2736,2740) = 1874160

LCM of 2736 and 2740

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

LCM of:
and

Least Common Multiple of 2736 and 2740

LCM of 2736 and 2740 is 1874160

Least common multiple can be found by multiplying the highest exponent prime factors of 2736 and 2740. First we will calculate the prime factors of 2736 and 2740.

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 2740


2 2740
2 1370
5 685
137 137
1

Prime factors of 2740 are 2, 5,137. Prime factorization of 2740 in exponential form is:

2740 = 22×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2736 and 2740.

LCM(2736,2740) = 24×32×51×191×1371
LCM(2736,2740) = 1874160

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 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740

Least Common Multiple of 2736 and 2740 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 2740, than apply into the LCM equation.

GCF(2736,2740) = 4
LCM(2736,2740) = ( 2736 × 2740) / 4
LCM(2736,2740) = 7496640 / 4
LCM(2736,2740) = 1874160

Properties of LCM 2736 and 2740

(i) The LCM of 2740 and 2736 is associative

LCM of 2736 and 2740 = LCM of 2740 and 2736

Related Least Common Multiples of 2736

Related Least Common Multiples of 2740

Frequently Asked Questions on LCM of 2736 and 2740

1. What is the LCM of 2736 and 2740?

Answer: LCM of 2736 and 2740 is 1874160.

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 2740?

Answer: Factors of 2740 are 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740. There are 12 integers that are factors of 2740. The greatest factor of 2740 is 2740.

4. How to Find the LCM of 2736 and 2740?

Answer:

Least Common Multiple of 2736 and 2740 = 1874160

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 2740

2740 = 2 x 2 x 5 x 137

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

LCM = 1874160 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 137

Step 4: Therefore, the least common multiple of 2736 and 2740 is 1874160.