Least Common Multiple of 2720 and 2724

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 2724 the smallest integer that is 1852320 that is divisible by both numbers.

Least Common Multiple (LCM) of 2720 and 2724 is 1852320.

LCM(2720,2724) = 1852320

LCM of 2720 and 2724

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

LCM of:
and

Least Common Multiple of 2720 and 2724

LCM of 2720 and 2724 is 1852320

Least common multiple can be found by multiplying the highest exponent prime factors of 2720 and 2724. First we will calculate the prime factors of 2720 and 2724.

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 2724


2 2724
2 1362
3 681
227 227
1

Prime factors of 2724 are 2, 3,227. Prime factorization of 2724 in exponential form is:

2724 = 22×31×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2720 and 2724.

LCM(2720,2724) = 25×31×51×171×2271
LCM(2720,2724) = 1852320

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 2724

List of positive integer factors of 2724 that divides 2724 without a remainder.

1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724

Least Common Multiple of 2720 and 2724 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 2724, than apply into the LCM equation.

GCF(2720,2724) = 4
LCM(2720,2724) = ( 2720 × 2724) / 4
LCM(2720,2724) = 7409280 / 4
LCM(2720,2724) = 1852320

Properties of LCM 2720 and 2724

(i) The LCM of 2724 and 2720 is associative

LCM of 2720 and 2724 = LCM of 2724 and 2720

Related Least Common Multiples of 2720

Related Least Common Multiples of 2724

Frequently Asked Questions on LCM of 2720 and 2724

1. What is the LCM of 2720 and 2724?

Answer: LCM of 2720 and 2724 is 1852320.

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 2724?

Answer: Factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724. There are 12 integers that are factors of 2724. The greatest factor of 2724 is 2724.

4. How to Find the LCM of 2720 and 2724?

Answer:

Least Common Multiple of 2720 and 2724 = 1852320

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 2724

2724 = 2 x 2 x 3 x 227

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

LCM = 1852320 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 227

Step 4: Therefore, the least common multiple of 2720 and 2724 is 1852320.