Least Common Multiple of 2720 and 2727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2720 and 2727 the smallest integer that is 7417440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2720 and 2727 is 7417440.

LCM(2720,2727) = 7417440

LCM of 2720 and 2727

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

LCM of:
and

Least Common Multiple of 2720 and 2727

LCM of 2720 and 2727 is 7417440

Least common multiple can be found by multiplying the highest exponent prime factors of 2720 and 2727. First we will calculate the prime factors of 2720 and 2727.

Prime Factorization of 2720


2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 2720 are 2, 5,17. Prime factorization of 2720 in exponential form is:

2720 = 25×51×171

Prime Factorization of 2727


3 2727
3 909
3 303
101 101
1

Prime factors of 2727 are 3,101. Prime factorization of 2727 in exponential form is:

2727 = 33×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2720 and 2727.

LCM(2720,2727) = 25×33×51×171×1011
LCM(2720,2727) = 7417440

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720

Factors of 2727

List of positive integer factors of 2727 that divides 2727 without a remainder.

1, 3, 9, 27, 101, 303, 909, 2727

Least Common Multiple of 2720 and 2727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2720 and 2727, than apply into the LCM equation.

GCF(2720,2727) = 1
LCM(2720,2727) = ( 2720 × 2727) / 1
LCM(2720,2727) = 7417440 / 1
LCM(2720,2727) = 7417440

Properties of LCM 2720 and 2727

(i) The LCM of 2727 and 2720 is associative

LCM of 2720 and 2727 = LCM of 2727 and 2720

Related Least Common Multiples of 2720

Related Least Common Multiples of 2727

Frequently Asked Questions on LCM of 2720 and 2727

1. What is the LCM of 2720 and 2727?

Answer: LCM of 2720 and 2727 is 7417440.

2. What are the Factors of 2720?

Answer: Factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720. There are 24 integers that are factors of 2720. The greatest factor of 2720 is 2720.

3. What are the Factors of 2727?

Answer: Factors of 2727 are 1, 3, 9, 27, 101, 303, 909, 2727. There are 8 integers that are factors of 2727. The greatest factor of 2727 is 2727.

4. How to Find the LCM of 2720 and 2727?

Answer:

Least Common Multiple of 2720 and 2727 = 7417440

Step 1: Find the prime factorization of 2720

2720 = 2 x 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 2727

2727 = 3 x 3 x 3 x 101

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

LCM = 7417440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 101

Step 4: Therefore, the least common multiple of 2720 and 2727 is 7417440.