Least Common Multiple of 7269 and 7273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7269 and 7273 the smallest integer that is 52867437 that is divisible by both numbers.

Least Common Multiple (LCM) of 7269 and 7273 is 52867437.

LCM(7269,7273) = 52867437

LCM of 7269 and 7273

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

LCM of:
and

Least Common Multiple of 7269 and 7273

LCM of 7269 and 7273 is 52867437

Least common multiple can be found by multiplying the highest exponent prime factors of 7269 and 7273. First we will calculate the prime factors of 7269 and 7273.

Prime Factorization of 7269


3 7269
2423 2423
1

Prime factors of 7269 are 3,2423. Prime factorization of 7269 in exponential form is:

7269 = 31×24231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7269 and 7273.

LCM(7269,7273) = 31×71×10391×24231
LCM(7269,7273) = 52867437

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1, 3, 2423, 7269

Factors of 7273

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

1, 7, 1039, 7273

Least Common Multiple of 7269 and 7273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7269 and 7273, than apply into the LCM equation.

GCF(7269,7273) = 1
LCM(7269,7273) = ( 7269 × 7273) / 1
LCM(7269,7273) = 52867437 / 1
LCM(7269,7273) = 52867437

Properties of LCM 7269 and 7273

(i) The LCM of 7273 and 7269 is associative

LCM of 7269 and 7273 = LCM of 7273 and 7269

Related Least Common Multiples of 7269

Related Least Common Multiples of 7273

Frequently Asked Questions on LCM of 7269 and 7273

1. What is the LCM of 7269 and 7273?

Answer: LCM of 7269 and 7273 is 52867437.

2. What are the Factors of 7269?

Answer: Factors of 7269 are 1, 3, 2423, 7269. There are 4 integers that are factors of 7269. The greatest factor of 7269 is 7269.

3. 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.

4. How to Find the LCM of 7269 and 7273?

Answer:

Least Common Multiple of 7269 and 7273 = 52867437

Step 1: Find the prime factorization of 7269

7269 = 3 x 2423

Step 2: Find the prime factorization of 7273

7273 = 7 x 1039

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

LCM = 52867437 = 3 x 7 x 1039 x 2423

Step 4: Therefore, the least common multiple of 7269 and 7273 is 52867437.