Least Common Multiple of 7273 and 7278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7273 and 7278 the smallest integer that is 52932894 that is divisible by both numbers.

Least Common Multiple (LCM) of 7273 and 7278 is 52932894.

LCM(7273,7278) = 52932894

LCM of 7273 and 7278

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

LCM of:
and

Least Common Multiple of 7273 and 7278

LCM of 7273 and 7278 is 52932894

Least common multiple can be found by multiplying the highest exponent prime factors of 7273 and 7278. First we will calculate the prime factors of 7273 and 7278.

Prime Factorization of 7273


7 7273
1039 1039
1

Prime factors of 7273 are 7,1039. Prime factorization of 7273 in exponential form is:

7273 = 71×10391

Prime Factorization of 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2, 3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 7273 and 7278.

LCM(7273,7278) = 21×31×71×10391×12131
LCM(7273,7278) = 52932894

Factors of 7273

List of positive integer factors of 7273 that divides 7273 without a remainder.

1, 7, 1039, 7273

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639, 7278

Least Common Multiple of 7273 and 7278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7273 and 7278, than apply into the LCM equation.

GCF(7273,7278) = 1
LCM(7273,7278) = ( 7273 × 7278) / 1
LCM(7273,7278) = 52932894 / 1
LCM(7273,7278) = 52932894

Properties of LCM 7273 and 7278

(i) The LCM of 7278 and 7273 is associative

LCM of 7273 and 7278 = LCM of 7278 and 7273

Related Least Common Multiples of 7273

Related Least Common Multiples of 7278

Frequently Asked Questions on LCM of 7273 and 7278

1. What is the LCM of 7273 and 7278?

Answer: LCM of 7273 and 7278 is 52932894.

2. What are the Factors of 7273?

Answer: Factors of 7273 are 1, 7, 1039, 7273. There are 4 integers that are factors of 7273. The greatest factor of 7273 is 7273.

3. What are the Factors of 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

4. How to Find the LCM of 7273 and 7278?

Answer:

Least Common Multiple of 7273 and 7278 = 52932894

Step 1: Find the prime factorization of 7273

7273 = 7 x 1039

Step 2: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

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

LCM = 52932894 = 2 x 3 x 7 x 1039 x 1213

Step 4: Therefore, the least common multiple of 7273 and 7278 is 52932894.