Least Common Multiple of 2745 and 2749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2745 and 2749 the smallest integer that is 7546005 that is divisible by both numbers.

Least Common Multiple (LCM) of 2745 and 2749 is 7546005.

LCM(2745,2749) = 7546005

LCM of 2745 and 2749

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

LCM of:
and

Least Common Multiple of 2745 and 2749

LCM of 2745 and 2749 is 7546005

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2749. First we will calculate the prime factors of 2745 and 2749.

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

Prime Factorization of 2749


2749 2749
1

Prime factors of 2749 are 2749. Prime factorization of 2749 in exponential form is:

2749 = 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2749.

LCM(2745,2749) = 32×51×611×27491
LCM(2745,2749) = 7546005

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

Factors of 2749

List of positive integer factors of 2749 that divides 2749 without a remainder.

1, 2749

Least Common Multiple of 2745 and 2749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2745 and 2749, than apply into the LCM equation.

GCF(2745,2749) = 1
LCM(2745,2749) = ( 2745 × 2749) / 1
LCM(2745,2749) = 7546005 / 1
LCM(2745,2749) = 7546005

Properties of LCM 2745 and 2749

(i) The LCM of 2749 and 2745 is associative

LCM of 2745 and 2749 = LCM of 2749 and 2745

Related Least Common Multiples of 2745

Related Least Common Multiples of 2749

Frequently Asked Questions on LCM of 2745 and 2749

1. What is the LCM of 2745 and 2749?

Answer: LCM of 2745 and 2749 is 7546005.

2. 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.

3. What are the Factors of 2749?

Answer: Factors of 2749 are 1, 2749. There are 2 integers that are factors of 2749. The greatest factor of 2749 is 2749.

4. How to Find the LCM of 2745 and 2749?

Answer:

Least Common Multiple of 2745 and 2749 = 7546005

Step 1: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 2749

2749 = 2749

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

LCM = 7546005 = 3 x 3 x 5 x 61 x 2749

Step 4: Therefore, the least common multiple of 2745 and 2749 is 7546005.