Least Common Multiple of 276 and 284

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 284 the smallest integer that is 19596 that is divisible by both numbers.

Least Common Multiple (LCM) of 276 and 284 is 19596.

LCM(276,284) = 19596

LCM of 276 and 284

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

LCM of:
and

Least Common Multiple of 276 and 284

LCM of 276 and 284 is 19596

Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 284. First we will calculate the prime factors of 276 and 284.

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 284


2 284
2 142
71 71
1

Prime factors of 284 are 2,71. Prime factorization of 284 in exponential form is:

284 = 22×711

Now multiplying the highest exponent prime factors to calculate the LCM of 276 and 284.

LCM(276,284) = 22×31×231×711
LCM(276,284) = 19596

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 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Least Common Multiple of 276 and 284 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 284, than apply into the LCM equation.

GCF(276,284) = 4
LCM(276,284) = ( 276 × 284) / 4
LCM(276,284) = 78384 / 4
LCM(276,284) = 19596

Properties of LCM 276 and 284

(i) The LCM of 284 and 276 is associative

LCM of 276 and 284 = LCM of 284 and 276

Related Least Common Multiples of 276

Related Least Common Multiples of 284

Frequently Asked Questions on LCM of 276 and 284

1. What is the LCM of 276 and 284?

Answer: LCM of 276 and 284 is 19596.

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 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

4. How to Find the LCM of 276 and 284?

Answer:

Least Common Multiple of 276 and 284 = 19596

Step 1: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 284

284 = 2 x 2 x 71

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

LCM = 19596 = 2 x 2 x 3 x 23 x 71

Step 4: Therefore, the least common multiple of 276 and 284 is 19596.