Least Common Multiple of 2733 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 2733 and 2739 the smallest integer that is 2495229 that is divisible by both numbers.

Least Common Multiple (LCM) of 2733 and 2739 is 2495229.

LCM(2733,2739) = 2495229

LCM of 2733 and 2739

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

LCM of:
and

Least Common Multiple of 2733 and 2739

LCM of 2733 and 2739 is 2495229

Least common multiple can be found by multiplying the highest exponent prime factors of 2733 and 2739. First we will calculate the prime factors of 2733 and 2739.

Prime Factorization of 2733


3 2733
911 911
1

Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:

2733 = 31×9111

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 2733 and 2739.

LCM(2733,2739) = 31×111×831×9111
LCM(2733,2739) = 2495229

Factors of 2733

List of positive integer factors of 2733 that divides 2733 without a remainder.

1, 3, 911, 2733

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 2733 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 2733 and 2739, than apply into the LCM equation.

GCF(2733,2739) = 3
LCM(2733,2739) = ( 2733 × 2739) / 3
LCM(2733,2739) = 7485687 / 3
LCM(2733,2739) = 2495229

Properties of LCM 2733 and 2739

(i) The LCM of 2739 and 2733 is associative

LCM of 2733 and 2739 = LCM of 2739 and 2733

Related Least Common Multiples of 2733

Related Least Common Multiples of 2739

Frequently Asked Questions on LCM of 2733 and 2739

1. What is the LCM of 2733 and 2739?

Answer: LCM of 2733 and 2739 is 2495229.

2. What are the Factors of 2733?

Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.

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 2733 and 2739?

Answer:

Least Common Multiple of 2733 and 2739 = 2495229

Step 1: Find the prime factorization of 2733

2733 = 3 x 911

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 = 2495229 = 3 x 11 x 83 x 911

Step 4: Therefore, the least common multiple of 2733 and 2739 is 2495229.