Least Common Multiple of 273 and 274

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 274 the smallest integer that is 74802 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 274 is 74802.

LCM(273,274) = 74802

LCM of 273 and 274

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

LCM of:
and

Least Common Multiple of 273 and 274

LCM of 273 and 274 is 74802

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 274. First we will calculate the prime factors of 273 and 274.

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 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 274.

LCM(273,274) = 21×31×71×131×1371
LCM(273,274) = 74802

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 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Least Common Multiple of 273 and 274 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 274, than apply into the LCM equation.

GCF(273,274) = 1
LCM(273,274) = ( 273 × 274) / 1
LCM(273,274) = 74802 / 1
LCM(273,274) = 74802

Properties of LCM 273 and 274

(i) The LCM of 274 and 273 is associative

LCM of 273 and 274 = LCM of 274 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 274

Frequently Asked Questions on LCM of 273 and 274

1. What is the LCM of 273 and 274?

Answer: LCM of 273 and 274 is 74802.

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 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

4. How to Find the LCM of 273 and 274?

Answer:

Least Common Multiple of 273 and 274 = 74802

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 274

274 = 2 x 137

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

LCM = 74802 = 2 x 3 x 7 x 13 x 137

Step 4: Therefore, the least common multiple of 273 and 274 is 74802.