Least Common Multiple of 277 and 281

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 281 the smallest integer that is 77837 that is divisible by both numbers.

Least Common Multiple (LCM) of 277 and 281 is 77837.

LCM(277,281) = 77837

LCM of 277 and 281

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

LCM of:
and

Least Common Multiple of 277 and 281

LCM of 277 and 281 is 77837

Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 281. First we will calculate the prime factors of 277 and 281.

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 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 277 and 281.

LCM(277,281) = 2771×2811
LCM(277,281) = 77837

Factors of 277

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

1, 277

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1, 281

Least Common Multiple of 277 and 281 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 281, than apply into the LCM equation.

GCF(277,281) = 1
LCM(277,281) = ( 277 × 281) / 1
LCM(277,281) = 77837 / 1
LCM(277,281) = 77837

Properties of LCM 277 and 281

(i) The LCM of 281 and 277 is associative

LCM of 277 and 281 = LCM of 281 and 277

Related Least Common Multiples of 277

Related Least Common Multiples of 281

Frequently Asked Questions on LCM of 277 and 281

1. What is the LCM of 277 and 281?

Answer: LCM of 277 and 281 is 77837.

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 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

4. How to Find the LCM of 277 and 281?

Answer:

Least Common Multiple of 277 and 281 = 77837

Step 1: Find the prime factorization of 277

277 = 277

Step 2: Find the prime factorization of 281

281 = 281

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

LCM = 77837 = 277 x 281

Step 4: Therefore, the least common multiple of 277 and 281 is 77837.