Least Common Multiple of 2700 and 2702

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 2702 the smallest integer that is 3647700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2700 and 2702 is 3647700.

LCM(2700,2702) = 3647700

LCM of 2700 and 2702

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

LCM of:
and

Least Common Multiple of 2700 and 2702

LCM of 2700 and 2702 is 3647700

Least common multiple can be found by multiplying the highest exponent prime factors of 2700 and 2702. First we will calculate the prime factors of 2700 and 2702.

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 2702


2 2702
7 1351
193 193
1

Prime factors of 2702 are 2, 7,193. Prime factorization of 2702 in exponential form is:

2702 = 21×71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 2700 and 2702.

LCM(2700,2702) = 22×33×52×71×1931
LCM(2700,2702) = 3647700

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 2702

List of positive integer factors of 2702 that divides 2702 without a remainder.

1, 2, 7, 14, 193, 386, 1351, 2702

Least Common Multiple of 2700 and 2702 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 2702, than apply into the LCM equation.

GCF(2700,2702) = 2
LCM(2700,2702) = ( 2700 × 2702) / 2
LCM(2700,2702) = 7295400 / 2
LCM(2700,2702) = 3647700

Properties of LCM 2700 and 2702

(i) The LCM of 2702 and 2700 is associative

LCM of 2700 and 2702 = LCM of 2702 and 2700

Related Least Common Multiples of 2700

Related Least Common Multiples of 2702

Frequently Asked Questions on LCM of 2700 and 2702

1. What is the LCM of 2700 and 2702?

Answer: LCM of 2700 and 2702 is 3647700.

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 2702?

Answer: Factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702. There are 8 integers that are factors of 2702. The greatest factor of 2702 is 2702.

4. How to Find the LCM of 2700 and 2702?

Answer:

Least Common Multiple of 2700 and 2702 = 3647700

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 2702

2702 = 2 x 7 x 193

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

LCM = 3647700 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 193

Step 4: Therefore, the least common multiple of 2700 and 2702 is 3647700.