Least Common Multiple of 270 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 270 and 276 the smallest integer that is 12420 that is divisible by both numbers.

Least Common Multiple (LCM) of 270 and 276 is 12420.

LCM(270,276) = 12420

LCM of 270 and 276

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

LCM of:
and

Least Common Multiple of 270 and 276

LCM of 270 and 276 is 12420

Least common multiple can be found by multiplying the highest exponent prime factors of 270 and 276. First we will calculate the prime factors of 270 and 276.

Prime Factorization of 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2, 3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

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 270 and 276.

LCM(270,276) = 22×33×51×231
LCM(270,276) = 12420

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 270 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 270 and 276, than apply into the LCM equation.

GCF(270,276) = 6
LCM(270,276) = ( 270 × 276) / 6
LCM(270,276) = 74520 / 6
LCM(270,276) = 12420

Properties of LCM 270 and 276

(i) The LCM of 276 and 270 is associative

LCM of 270 and 276 = LCM of 276 and 270

Related Least Common Multiples of 270

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 270 and 276

1. What is the LCM of 270 and 276?

Answer: LCM of 270 and 276 is 12420.

2. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

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 270 and 276?

Answer:

Least Common Multiple of 270 and 276 = 12420

Step 1: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

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 = 12420 = 2 x 2 x 3 x 3 x 3 x 5 x 23

Step 4: Therefore, the least common multiple of 270 and 276 is 12420.