Least Common Multiple of 2700 and 2703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2700 and 2703 the smallest integer that is 2432700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2700 and 2703 is 2432700.

LCM(2700,2703) = 2432700

LCM of 2700 and 2703

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

LCM of:
and

Least Common Multiple of 2700 and 2703

LCM of 2700 and 2703 is 2432700

Least common multiple can be found by multiplying the highest exponent prime factors of 2700 and 2703. First we will calculate the prime factors of 2700 and 2703.

Prime Factorization of 2700


2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2700 are 2, 3,5. Prime factorization of 2700 in exponential form is:

2700 = 22×33×52

Prime Factorization of 2703


3 2703
17 901
53 53
1

Prime factors of 2703 are 3, 17,53. Prime factorization of 2703 in exponential form is:

2703 = 31×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2700 and 2703.

LCM(2700,2703) = 22×33×52×171×531
LCM(2700,2703) = 2432700

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700

Factors of 2703

List of positive integer factors of 2703 that divides 2703 without a remainder.

1, 3, 17, 51, 53, 159, 901, 2703

Least Common Multiple of 2700 and 2703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2700 and 2703, than apply into the LCM equation.

GCF(2700,2703) = 3
LCM(2700,2703) = ( 2700 × 2703) / 3
LCM(2700,2703) = 7298100 / 3
LCM(2700,2703) = 2432700

Properties of LCM 2700 and 2703

(i) The LCM of 2703 and 2700 is associative

LCM of 2700 and 2703 = LCM of 2703 and 2700

Related Least Common Multiples of 2700

Related Least Common Multiples of 2703

Frequently Asked Questions on LCM of 2700 and 2703

1. What is the LCM of 2700 and 2703?

Answer: LCM of 2700 and 2703 is 2432700.

2. What are the Factors of 2700?

Answer: Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. There are 36 integers that are factors of 2700. The greatest factor of 2700 is 2700.

3. What are the Factors of 2703?

Answer: Factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703. There are 8 integers that are factors of 2703. The greatest factor of 2703 is 2703.

4. How to Find the LCM of 2700 and 2703?

Answer:

Least Common Multiple of 2700 and 2703 = 2432700

Step 1: Find the prime factorization of 2700

2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 2703

2703 = 3 x 17 x 53

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

LCM = 2432700 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 17 x 53

Step 4: Therefore, the least common multiple of 2700 and 2703 is 2432700.