Least Common Multiple of 276 and 282

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 282 the smallest integer that is 12972 that is divisible by both numbers.

Least Common Multiple (LCM) of 276 and 282 is 12972.

LCM(276,282) = 12972

LCM of 276 and 282

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

LCM of:
and

Least Common Multiple of 276 and 282

LCM of 276 and 282 is 12972

Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 282. First we will calculate the prime factors of 276 and 282.

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 282


2 282
3 141
47 47
1

Prime factors of 282 are 2, 3,47. Prime factorization of 282 in exponential form is:

282 = 21×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 276 and 282.

LCM(276,282) = 22×31×231×471
LCM(276,282) = 12972

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 282

List of positive integer factors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Least Common Multiple of 276 and 282 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 282, than apply into the LCM equation.

GCF(276,282) = 6
LCM(276,282) = ( 276 × 282) / 6
LCM(276,282) = 77832 / 6
LCM(276,282) = 12972

Properties of LCM 276 and 282

(i) The LCM of 282 and 276 is associative

LCM of 276 and 282 = LCM of 282 and 276

Related Least Common Multiples of 276

Related Least Common Multiples of 282

Frequently Asked Questions on LCM of 276 and 282

1. What is the LCM of 276 and 282?

Answer: LCM of 276 and 282 is 12972.

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 282?

Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.

4. How to Find the LCM of 276 and 282?

Answer:

Least Common Multiple of 276 and 282 = 12972

Step 1: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 282

282 = 2 x 3 x 47

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

LCM = 12972 = 2 x 2 x 3 x 23 x 47

Step 4: Therefore, the least common multiple of 276 and 282 is 12972.