Least Common Multiple of 273 and 278

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 278 the smallest integer that is 75894 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 278 is 75894.

LCM(273,278) = 75894

LCM of 273 and 278

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

LCM of:
and

Least Common Multiple of 273 and 278

LCM of 273 and 278 is 75894

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 278. First we will calculate the prime factors of 273 and 278.

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 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 278.

LCM(273,278) = 21×31×71×131×1391
LCM(273,278) = 75894

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 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Least Common Multiple of 273 and 278 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 278, than apply into the LCM equation.

GCF(273,278) = 1
LCM(273,278) = ( 273 × 278) / 1
LCM(273,278) = 75894 / 1
LCM(273,278) = 75894

Properties of LCM 273 and 278

(i) The LCM of 278 and 273 is associative

LCM of 273 and 278 = LCM of 278 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 278

Frequently Asked Questions on LCM of 273 and 278

1. What is the LCM of 273 and 278?

Answer: LCM of 273 and 278 is 75894.

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 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

4. How to Find the LCM of 273 and 278?

Answer:

Least Common Multiple of 273 and 278 = 75894

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 278

278 = 2 x 139

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

LCM = 75894 = 2 x 3 x 7 x 13 x 139

Step 4: Therefore, the least common multiple of 273 and 278 is 75894.