Least Common Multiple of 2745 and 2752

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 2752 the smallest integer that is 7554240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2745 and 2752 is 7554240.

LCM(2745,2752) = 7554240

LCM of 2745 and 2752

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

LCM of:
and

Least Common Multiple of 2745 and 2752

LCM of 2745 and 2752 is 7554240

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2752. First we will calculate the prime factors of 2745 and 2752.

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 2752


2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 2752 are 2,43. Prime factorization of 2752 in exponential form is:

2752 = 26×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2752.

LCM(2745,2752) = 26×32×51×431×611
LCM(2745,2752) = 7554240

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 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752

Least Common Multiple of 2745 and 2752 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 2752, than apply into the LCM equation.

GCF(2745,2752) = 1
LCM(2745,2752) = ( 2745 × 2752) / 1
LCM(2745,2752) = 7554240 / 1
LCM(2745,2752) = 7554240

Properties of LCM 2745 and 2752

(i) The LCM of 2752 and 2745 is associative

LCM of 2745 and 2752 = LCM of 2752 and 2745

Related Least Common Multiples of 2745

Related Least Common Multiples of 2752

Frequently Asked Questions on LCM of 2745 and 2752

1. What is the LCM of 2745 and 2752?

Answer: LCM of 2745 and 2752 is 7554240.

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 2752?

Answer: Factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. There are 14 integers that are factors of 2752. The greatest factor of 2752 is 2752.

4. How to Find the LCM of 2745 and 2752?

Answer:

Least Common Multiple of 2745 and 2752 = 7554240

Step 1: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 2752

2752 = 2 x 2 x 2 x 2 x 2 x 2 x 43

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

LCM = 7554240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 43 x 61

Step 4: Therefore, the least common multiple of 2745 and 2752 is 7554240.