Least Common Multiple of 2732 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 2732 and 2736 the smallest integer that is 1868688 that is divisible by both numbers.

Least Common Multiple (LCM) of 2732 and 2736 is 1868688.

LCM(2732,2736) = 1868688

LCM of 2732 and 2736

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

LCM of:
and

Least Common Multiple of 2732 and 2736

LCM of 2732 and 2736 is 1868688

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2736. First we will calculate the prime factors of 2732 and 2736.

Prime Factorization of 2732


2 2732
2 1366
683 683
1

Prime factors of 2732 are 2,683. Prime factorization of 2732 in exponential form is:

2732 = 22×6831

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 2732 and 2736.

LCM(2732,2736) = 24×32×191×6831
LCM(2732,2736) = 1868688

Factors of 2732

List of positive integer factors of 2732 that divides 2732 without a remainder.

1, 2, 4, 683, 1366, 2732

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 2732 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 2732 and 2736, than apply into the LCM equation.

GCF(2732,2736) = 4
LCM(2732,2736) = ( 2732 × 2736) / 4
LCM(2732,2736) = 7474752 / 4
LCM(2732,2736) = 1868688

Properties of LCM 2732 and 2736

(i) The LCM of 2736 and 2732 is associative

LCM of 2732 and 2736 = LCM of 2736 and 2732

Related Least Common Multiples of 2732

Related Least Common Multiples of 2736

Frequently Asked Questions on LCM of 2732 and 2736

1. What is the LCM of 2732 and 2736?

Answer: LCM of 2732 and 2736 is 1868688.

2. What are the Factors of 2732?

Answer: Factors of 2732 are 1, 2, 4, 683, 1366, 2732. There are 6 integers that are factors of 2732. The greatest factor of 2732 is 2732.

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 2732 and 2736?

Answer:

Least Common Multiple of 2732 and 2736 = 1868688

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

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 = 1868688 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 683

Step 4: Therefore, the least common multiple of 2732 and 2736 is 1868688.