Least Common Multiple of 275 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 275 and 280 the smallest integer that is 15400 that is divisible by both numbers.

Least Common Multiple (LCM) of 275 and 280 is 15400.

LCM(275,280) = 15400

LCM of 275 and 280

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

LCM of:
and

Least Common Multiple of 275 and 280

LCM of 275 and 280 is 15400

Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 280. First we will calculate the prime factors of 275 and 280.

Prime Factorization of 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

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 275 and 280.

LCM(275,280) = 23×52×71×111
LCM(275,280) = 15400

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 275 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 275 and 280, than apply into the LCM equation.

GCF(275,280) = 5
LCM(275,280) = ( 275 × 280) / 5
LCM(275,280) = 77000 / 5
LCM(275,280) = 15400

Properties of LCM 275 and 280

(i) The LCM of 280 and 275 is associative

LCM of 275 and 280 = LCM of 280 and 275

Related Least Common Multiples of 275

Related Least Common Multiples of 280

Frequently Asked Questions on LCM of 275 and 280

1. What is the LCM of 275 and 280?

Answer: LCM of 275 and 280 is 15400.

2. What are the Factors of 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

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 275 and 280?

Answer:

Least Common Multiple of 275 and 280 = 15400

Step 1: Find the prime factorization of 275

275 = 5 x 5 x 11

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 = 15400 = 2 x 2 x 2 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 275 and 280 is 15400.