Least Common Multiple of 276 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 276 and 281 the smallest integer that is 77556 that is divisible by both numbers.

Least Common Multiple (LCM) of 276 and 281 is 77556.

LCM(276,281) = 77556

LCM of 276 and 281

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

LCM of:
and

Least Common Multiple of 276 and 281

LCM of 276 and 281 is 77556

Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 281. First we will calculate the prime factors of 276 and 281.

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 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 276 and 281.

LCM(276,281) = 22×31×231×2811
LCM(276,281) = 77556

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 281

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

1, 281

Least Common Multiple of 276 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 276 and 281, than apply into the LCM equation.

GCF(276,281) = 1
LCM(276,281) = ( 276 × 281) / 1
LCM(276,281) = 77556 / 1
LCM(276,281) = 77556

Properties of LCM 276 and 281

(i) The LCM of 281 and 276 is associative

LCM of 276 and 281 = LCM of 281 and 276

Related Least Common Multiples of 276

Related Least Common Multiples of 281

Frequently Asked Questions on LCM of 276 and 281

1. What is the LCM of 276 and 281?

Answer: LCM of 276 and 281 is 77556.

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 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 276 and 281?

Answer:

Least Common Multiple of 276 and 281 = 77556

Step 1: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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 = 77556 = 2 x 2 x 3 x 23 x 281

Step 4: Therefore, the least common multiple of 276 and 281 is 77556.