Least Common Multiple of 2700 and 2701

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 2701 the smallest integer that is 7292700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2700 and 2701 is 7292700.

LCM(2700,2701) = 7292700

LCM of 2700 and 2701

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

LCM of:
and

Least Common Multiple of 2700 and 2701

LCM of 2700 and 2701 is 7292700

Least common multiple can be found by multiplying the highest exponent prime factors of 2700 and 2701. First we will calculate the prime factors of 2700 and 2701.

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 2701


37 2701
73 73
1

Prime factors of 2701 are 37,73. Prime factorization of 2701 in exponential form is:

2701 = 371×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2700 and 2701.

LCM(2700,2701) = 22×33×52×371×731
LCM(2700,2701) = 7292700

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 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1, 37, 73, 2701

Least Common Multiple of 2700 and 2701 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 2701, than apply into the LCM equation.

GCF(2700,2701) = 1
LCM(2700,2701) = ( 2700 × 2701) / 1
LCM(2700,2701) = 7292700 / 1
LCM(2700,2701) = 7292700

Properties of LCM 2700 and 2701

(i) The LCM of 2701 and 2700 is associative

LCM of 2700 and 2701 = LCM of 2701 and 2700

Related Least Common Multiples of 2700

Related Least Common Multiples of 2701

Frequently Asked Questions on LCM of 2700 and 2701

1. What is the LCM of 2700 and 2701?

Answer: LCM of 2700 and 2701 is 7292700.

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 2701?

Answer: Factors of 2701 are 1, 37, 73, 2701. There are 4 integers that are factors of 2701. The greatest factor of 2701 is 2701.

4. How to Find the LCM of 2700 and 2701?

Answer:

Least Common Multiple of 2700 and 2701 = 7292700

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 2701

2701 = 37 x 73

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

LCM = 7292700 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 37 x 73

Step 4: Therefore, the least common multiple of 2700 and 2701 is 7292700.