Least Common Multiple of 2745 and 2746

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 2746 the smallest integer that is 7537770 that is divisible by both numbers.

Least Common Multiple (LCM) of 2745 and 2746 is 7537770.

LCM(2745,2746) = 7537770

LCM of 2745 and 2746

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

LCM of:
and

Least Common Multiple of 2745 and 2746

LCM of 2745 and 2746 is 7537770

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2746. First we will calculate the prime factors of 2745 and 2746.

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 2746


2 2746
1373 1373
1

Prime factors of 2746 are 2,1373. Prime factorization of 2746 in exponential form is:

2746 = 21×13731

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2746.

LCM(2745,2746) = 21×32×51×611×13731
LCM(2745,2746) = 7537770

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 2746

List of positive integer factors of 2746 that divides 2746 without a remainder.

1, 2, 1373, 2746

Least Common Multiple of 2745 and 2746 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 2746, than apply into the LCM equation.

GCF(2745,2746) = 1
LCM(2745,2746) = ( 2745 × 2746) / 1
LCM(2745,2746) = 7537770 / 1
LCM(2745,2746) = 7537770

Properties of LCM 2745 and 2746

(i) The LCM of 2746 and 2745 is associative

LCM of 2745 and 2746 = LCM of 2746 and 2745

Related Least Common Multiples of 2745

Related Least Common Multiples of 2746

Frequently Asked Questions on LCM of 2745 and 2746

1. What is the LCM of 2745 and 2746?

Answer: LCM of 2745 and 2746 is 7537770.

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 2746?

Answer: Factors of 2746 are 1, 2, 1373, 2746. There are 4 integers that are factors of 2746. The greatest factor of 2746 is 2746.

4. How to Find the LCM of 2745 and 2746?

Answer:

Least Common Multiple of 2745 and 2746 = 7537770

Step 1: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 2746

2746 = 2 x 1373

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

LCM = 7537770 = 2 x 3 x 3 x 5 x 61 x 1373

Step 4: Therefore, the least common multiple of 2745 and 2746 is 7537770.