Least Common Multiple of 268 and 273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 268 and 273 the smallest integer that is 73164 that is divisible by both numbers.

Least Common Multiple (LCM) of 268 and 273 is 73164.

LCM(268,273) = 73164

LCM of 268 and 273

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

LCM of:
and

Least Common Multiple of 268 and 273

LCM of 268 and 273 is 73164

Least common multiple can be found by multiplying the highest exponent prime factors of 268 and 273. First we will calculate the prime factors of 268 and 273.

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 268 and 273.

LCM(268,273) = 22×31×71×131×671
LCM(268,273) = 73164

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Factors of 273

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

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

Least Common Multiple of 268 and 273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 273, than apply into the LCM equation.

GCF(268,273) = 1
LCM(268,273) = ( 268 × 273) / 1
LCM(268,273) = 73164 / 1
LCM(268,273) = 73164

Properties of LCM 268 and 273

(i) The LCM of 273 and 268 is associative

LCM of 268 and 273 = LCM of 273 and 268

Related Least Common Multiples of 268

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 268 and 273

1. What is the LCM of 268 and 273?

Answer: LCM of 268 and 273 is 73164.

2. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

3. 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.

4. How to Find the LCM of 268 and 273?

Answer:

Least Common Multiple of 268 and 273 = 73164

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

Step 2: Find the prime factorization of 273

273 = 3 x 7 x 13

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

LCM = 73164 = 2 x 2 x 3 x 7 x 13 x 67

Step 4: Therefore, the least common multiple of 268 and 273 is 73164.