Least Common Multiple of 2732 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 2732 and 2740 the smallest integer that is 1871420 that is divisible by both numbers.

Least Common Multiple (LCM) of 2732 and 2740 is 1871420.

LCM(2732,2740) = 1871420

LCM of 2732 and 2740

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

LCM of:
and

Least Common Multiple of 2732 and 2740

LCM of 2732 and 2740 is 1871420

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2740. First we will calculate the prime factors of 2732 and 2740.

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 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 2732 and 2740.

LCM(2732,2740) = 22×51×1371×6831
LCM(2732,2740) = 1871420

Factors of 2732

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

1, 2, 4, 683, 1366, 2732

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 2732 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 2732 and 2740, than apply into the LCM equation.

GCF(2732,2740) = 4
LCM(2732,2740) = ( 2732 × 2740) / 4
LCM(2732,2740) = 7485680 / 4
LCM(2732,2740) = 1871420

Properties of LCM 2732 and 2740

(i) The LCM of 2740 and 2732 is associative

LCM of 2732 and 2740 = LCM of 2740 and 2732

Related Least Common Multiples of 2732

Related Least Common Multiples of 2740

Frequently Asked Questions on LCM of 2732 and 2740

1. What is the LCM of 2732 and 2740?

Answer: LCM of 2732 and 2740 is 1871420.

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 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 2732 and 2740?

Answer:

Least Common Multiple of 2732 and 2740 = 1871420

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

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 = 1871420 = 2 x 2 x 5 x 137 x 683

Step 4: Therefore, the least common multiple of 2732 and 2740 is 1871420.