Least Common Multiple of 2745 and 2751

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 2751 the smallest integer that is 2517165 that is divisible by both numbers.

Least Common Multiple (LCM) of 2745 and 2751 is 2517165.

LCM(2745,2751) = 2517165

LCM of 2745 and 2751

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

LCM of:
and

Least Common Multiple of 2745 and 2751

LCM of 2745 and 2751 is 2517165

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2751. First we will calculate the prime factors of 2745 and 2751.

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 2751


3 2751
7 917
131 131
1

Prime factors of 2751 are 3, 7,131. Prime factorization of 2751 in exponential form is:

2751 = 31×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2751.

LCM(2745,2751) = 32×51×71×611×1311
LCM(2745,2751) = 2517165

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 2751

List of positive integer factors of 2751 that divides 2751 without a remainder.

1, 3, 7, 21, 131, 393, 917, 2751

Least Common Multiple of 2745 and 2751 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 2751, than apply into the LCM equation.

GCF(2745,2751) = 3
LCM(2745,2751) = ( 2745 × 2751) / 3
LCM(2745,2751) = 7551495 / 3
LCM(2745,2751) = 2517165

Properties of LCM 2745 and 2751

(i) The LCM of 2751 and 2745 is associative

LCM of 2745 and 2751 = LCM of 2751 and 2745

Related Least Common Multiples of 2745

Related Least Common Multiples of 2751

Frequently Asked Questions on LCM of 2745 and 2751

1. What is the LCM of 2745 and 2751?

Answer: LCM of 2745 and 2751 is 2517165.

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 2751?

Answer: Factors of 2751 are 1, 3, 7, 21, 131, 393, 917, 2751. There are 8 integers that are factors of 2751. The greatest factor of 2751 is 2751.

4. How to Find the LCM of 2745 and 2751?

Answer:

Least Common Multiple of 2745 and 2751 = 2517165

Step 1: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 2751

2751 = 3 x 7 x 131

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

LCM = 2517165 = 3 x 3 x 5 x 7 x 61 x 131

Step 4: Therefore, the least common multiple of 2745 and 2751 is 2517165.