Least Common Multiple of 2739 and 2745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2739 and 2745 the smallest integer that is 2506185 that is divisible by both numbers.

Least Common Multiple (LCM) of 2739 and 2745 is 2506185.

LCM(2739,2745) = 2506185

LCM of 2739 and 2745

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

LCM of:
and

Least Common Multiple of 2739 and 2745

LCM of 2739 and 2745 is 2506185

Least common multiple can be found by multiplying the highest exponent prime factors of 2739 and 2745. First we will calculate the prime factors of 2739 and 2745.

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

Prime Factorization of 2745


3 2745
3 915
5 305
61 61
1

Prime factors of 2745 are 3, 5,61. Prime factorization of 2745 in exponential form is:

2745 = 32×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2739 and 2745.

LCM(2739,2745) = 32×51×111×611×831
LCM(2739,2745) = 2506185

Factors of 2739

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

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

Factors of 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745

Least Common Multiple of 2739 and 2745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2739 and 2745, than apply into the LCM equation.

GCF(2739,2745) = 3
LCM(2739,2745) = ( 2739 × 2745) / 3
LCM(2739,2745) = 7518555 / 3
LCM(2739,2745) = 2506185

Properties of LCM 2739 and 2745

(i) The LCM of 2745 and 2739 is associative

LCM of 2739 and 2745 = LCM of 2745 and 2739

Related Least Common Multiples of 2739

Related Least Common Multiples of 2745

Frequently Asked Questions on LCM of 2739 and 2745

1. What is the LCM of 2739 and 2745?

Answer: LCM of 2739 and 2745 is 2506185.

2. 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.

3. What are the Factors of 2745?

Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.

4. How to Find the LCM of 2739 and 2745?

Answer:

Least Common Multiple of 2739 and 2745 = 2506185

Step 1: Find the prime factorization of 2739

2739 = 3 x 11 x 83

Step 2: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

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

LCM = 2506185 = 3 x 3 x 5 x 11 x 61 x 83

Step 4: Therefore, the least common multiple of 2739 and 2745 is 2506185.