Least Common Multiple of 272 and 280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 272 and 280 the smallest integer that is 9520 that is divisible by both numbers.

Least Common Multiple (LCM) of 272 and 280 is 9520.

LCM(272,280) = 9520

LCM of 272 and 280

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

LCM of:
and

Least Common Multiple of 272 and 280

LCM of 272 and 280 is 9520

Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 280. First we will calculate the prime factors of 272 and 280.

Prime Factorization of 272


2 272
2 136
2 68
2 34
17 17
1

Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:

272 = 24×171

Prime Factorization of 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2, 5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 272 and 280.

LCM(272,280) = 24×51×71×171
LCM(272,280) = 9520

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Least Common Multiple of 272 and 280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 280, than apply into the LCM equation.

GCF(272,280) = 8
LCM(272,280) = ( 272 × 280) / 8
LCM(272,280) = 76160 / 8
LCM(272,280) = 9520

Properties of LCM 272 and 280

(i) The LCM of 280 and 272 is associative

LCM of 272 and 280 = LCM of 280 and 272

Related Least Common Multiples of 272

Related Least Common Multiples of 280

Frequently Asked Questions on LCM of 272 and 280

1. What is the LCM of 272 and 280?

Answer: LCM of 272 and 280 is 9520.

2. What are the Factors of 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

3. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

4. How to Find the LCM of 272 and 280?

Answer:

Least Common Multiple of 272 and 280 = 9520

Step 1: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

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

LCM = 9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 272 and 280 is 9520.