Least Common Multiple of 277 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 277 and 280 the smallest integer that is 77560 that is divisible by both numbers.

Least Common Multiple (LCM) of 277 and 280 is 77560.

LCM(277,280) = 77560

LCM of 277 and 280

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

LCM of:
and

Least Common Multiple of 277 and 280

LCM of 277 and 280 is 77560

Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 280. First we will calculate the prime factors of 277 and 280.

Prime Factorization of 277


277 277
1

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 2771

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 277 and 280.

LCM(277,280) = 23×51×71×2771
LCM(277,280) = 77560

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1, 277

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 277 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 277 and 280, than apply into the LCM equation.

GCF(277,280) = 1
LCM(277,280) = ( 277 × 280) / 1
LCM(277,280) = 77560 / 1
LCM(277,280) = 77560

Properties of LCM 277 and 280

(i) The LCM of 280 and 277 is associative

LCM of 277 and 280 = LCM of 280 and 277

Related Least Common Multiples of 277

Related Least Common Multiples of 280

Frequently Asked Questions on LCM of 277 and 280

1. What is the LCM of 277 and 280?

Answer: LCM of 277 and 280 is 77560.

2. What are the Factors of 277?

Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.

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 277 and 280?

Answer:

Least Common Multiple of 277 and 280 = 77560

Step 1: Find the prime factorization of 277

277 = 277

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 = 77560 = 2 x 2 x 2 x 5 x 7 x 277

Step 4: Therefore, the least common multiple of 277 and 280 is 77560.