Least Common Multiple of 273 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 273 and 276 the smallest integer that is 25116 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 276 is 25116.

LCM(273,276) = 25116

LCM of 273 and 276

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

LCM of:
and

Least Common Multiple of 273 and 276

LCM of 273 and 276 is 25116

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 276. First we will calculate the prime factors of 273 and 276.

Prime Factorization of 273


3 273
7 91
13 13
1

Prime factors of 273 are 3, 7,13. Prime factorization of 273 in exponential form is:

273 = 31×71×131

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 273 and 276.

LCM(273,276) = 22×31×71×131×231
LCM(273,276) = 25116

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

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 273 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 273 and 276, than apply into the LCM equation.

GCF(273,276) = 3
LCM(273,276) = ( 273 × 276) / 3
LCM(273,276) = 75348 / 3
LCM(273,276) = 25116

Properties of LCM 273 and 276

(i) The LCM of 276 and 273 is associative

LCM of 273 and 276 = LCM of 276 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 273 and 276

1. What is the LCM of 273 and 276?

Answer: LCM of 273 and 276 is 25116.

2. What are the Factors of 273?

Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.

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 273 and 276?

Answer:

Least Common Multiple of 273 and 276 = 25116

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

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 = 25116 = 2 x 2 x 3 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 273 and 276 is 25116.