Least Common Multiple of 272 and 276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 272 and 276 the smallest integer that is 18768 that is divisible by both numbers.

Least Common Multiple (LCM) of 272 and 276 is 18768.

LCM(272,276) = 18768

LCM of 272 and 276

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

LCM of:
and

Least Common Multiple of 272 and 276

LCM of 272 and 276 is 18768

Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 276. First we will calculate the prime factors of 272 and 276.

Prime Factorization of 272


2 272
2 136
2 68
2 34
17 17
1

Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:

272 = 24×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 272 and 276.

LCM(272,276) = 24×31×171×231
LCM(272,276) = 18768

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

Least Common Multiple of 272 and 276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 276, than apply into the LCM equation.

GCF(272,276) = 4
LCM(272,276) = ( 272 × 276) / 4
LCM(272,276) = 75072 / 4
LCM(272,276) = 18768

Properties of LCM 272 and 276

(i) The LCM of 276 and 272 is associative

LCM of 272 and 276 = LCM of 276 and 272

Related Least Common Multiples of 272

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 272 and 276

1. What is the LCM of 272 and 276?

Answer: LCM of 272 and 276 is 18768.

2. What are the Factors of 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

3. 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.

4. How to Find the LCM of 272 and 276?

Answer:

Least Common Multiple of 272 and 276 = 18768

Step 1: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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

LCM = 18768 = 2 x 2 x 2 x 2 x 3 x 17 x 23

Step 4: Therefore, the least common multiple of 272 and 276 is 18768.