Least Common Multiple of 2745 and 2750

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 2750 the smallest integer that is 1509750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2745 and 2750 is 1509750.

LCM(2745,2750) = 1509750

LCM of 2745 and 2750

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

LCM of:
and

Least Common Multiple of 2745 and 2750

LCM of 2745 and 2750 is 1509750

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2750. First we will calculate the prime factors of 2745 and 2750.

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 2750


2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 2750 are 2, 5,11. Prime factorization of 2750 in exponential form is:

2750 = 21×53×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2750.

LCM(2745,2750) = 21×32×53×111×611
LCM(2745,2750) = 1509750

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 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750

Least Common Multiple of 2745 and 2750 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 2750, than apply into the LCM equation.

GCF(2745,2750) = 5
LCM(2745,2750) = ( 2745 × 2750) / 5
LCM(2745,2750) = 7548750 / 5
LCM(2745,2750) = 1509750

Properties of LCM 2745 and 2750

(i) The LCM of 2750 and 2745 is associative

LCM of 2745 and 2750 = LCM of 2750 and 2745

Related Least Common Multiples of 2745

Related Least Common Multiples of 2750

Frequently Asked Questions on LCM of 2745 and 2750

1. What is the LCM of 2745 and 2750?

Answer: LCM of 2745 and 2750 is 1509750.

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 2750?

Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.

4. How to Find the LCM of 2745 and 2750?

Answer:

Least Common Multiple of 2745 and 2750 = 1509750

Step 1: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

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

LCM = 1509750 = 2 x 3 x 3 x 5 x 5 x 5 x 11 x 61

Step 4: Therefore, the least common multiple of 2745 and 2750 is 1509750.