Least Common Multiple of 2732 and 2739

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 2739 the smallest integer that is 7482948 that is divisible by both numbers.

Least Common Multiple (LCM) of 2732 and 2739 is 7482948.

LCM(2732,2739) = 7482948

LCM of 2732 and 2739

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

LCM of:
and

Least Common Multiple of 2732 and 2739

LCM of 2732 and 2739 is 7482948

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2739. First we will calculate the prime factors of 2732 and 2739.

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 2739


3 2739
11 913
83 83
1

Prime factors of 2739 are 3, 11,83. Prime factorization of 2739 in exponential form is:

2739 = 31×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2732 and 2739.

LCM(2732,2739) = 22×31×111×831×6831
LCM(2732,2739) = 7482948

Factors of 2732

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

1, 2, 4, 683, 1366, 2732

Factors of 2739

List of positive integer factors of 2739 that divides 2739 without a remainder.

1, 3, 11, 33, 83, 249, 913, 2739

Least Common Multiple of 2732 and 2739 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 2739, than apply into the LCM equation.

GCF(2732,2739) = 1
LCM(2732,2739) = ( 2732 × 2739) / 1
LCM(2732,2739) = 7482948 / 1
LCM(2732,2739) = 7482948

Properties of LCM 2732 and 2739

(i) The LCM of 2739 and 2732 is associative

LCM of 2732 and 2739 = LCM of 2739 and 2732

Related Least Common Multiples of 2732

Related Least Common Multiples of 2739

Frequently Asked Questions on LCM of 2732 and 2739

1. What is the LCM of 2732 and 2739?

Answer: LCM of 2732 and 2739 is 7482948.

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 2739?

Answer: Factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739. There are 8 integers that are factors of 2739. The greatest factor of 2739 is 2739.

4. How to Find the LCM of 2732 and 2739?

Answer:

Least Common Multiple of 2732 and 2739 = 7482948

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

Step 2: Find the prime factorization of 2739

2739 = 3 x 11 x 83

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

LCM = 7482948 = 2 x 2 x 3 x 11 x 83 x 683

Step 4: Therefore, the least common multiple of 2732 and 2739 is 7482948.