Least Common Multiple of 276 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 276 and 280 the smallest integer that is 19320 that is divisible by both numbers.

Least Common Multiple (LCM) of 276 and 280 is 19320.

LCM(276,280) = 19320

LCM of 276 and 280

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

LCM of:
and

Least Common Multiple of 276 and 280

LCM of 276 and 280 is 19320

Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 280. First we will calculate the prime factors of 276 and 280.

Prime Factorization of 276


2 276
2 138
3 69
23 23
1

Prime factors of 276 are 2, 3,23. Prime factorization of 276 in exponential form is:

276 = 22×31×231

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 276 and 280.

LCM(276,280) = 23×31×51×71×231
LCM(276,280) = 19320

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 276 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 276 and 280, than apply into the LCM equation.

GCF(276,280) = 4
LCM(276,280) = ( 276 × 280) / 4
LCM(276,280) = 77280 / 4
LCM(276,280) = 19320

Properties of LCM 276 and 280

(i) The LCM of 280 and 276 is associative

LCM of 276 and 280 = LCM of 280 and 276

Related Least Common Multiples of 276

Related Least Common Multiples of 280

Frequently Asked Questions on LCM of 276 and 280

1. What is the LCM of 276 and 280?

Answer: LCM of 276 and 280 is 19320.

2. What are the Factors of 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

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 276 and 280?

Answer:

Least Common Multiple of 276 and 280 = 19320

Step 1: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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 = 19320 = 2 x 2 x 2 x 3 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 276 and 280 is 19320.