Least Common Multiple of 7268 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 7268 and 7273 the smallest integer that is 52860164 that is divisible by both numbers.

Least Common Multiple (LCM) of 7268 and 7273 is 52860164.

LCM(7268,7273) = 52860164

LCM of 7268 and 7273

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

LCM of:
and

Least Common Multiple of 7268 and 7273

LCM of 7268 and 7273 is 52860164

Least common multiple can be found by multiplying the highest exponent prime factors of 7268 and 7273. First we will calculate the prime factors of 7268 and 7273.

Prime Factorization of 7268


2 7268
2 3634
23 1817
79 79
1

Prime factors of 7268 are 2, 23,79. Prime factorization of 7268 in exponential form is:

7268 = 22×231×791

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 7268 and 7273.

LCM(7268,7273) = 22×71×231×791×10391
LCM(7268,7273) = 52860164

Factors of 7268

List of positive integer factors of 7268 that divides 7268 without a remainder.

1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

Factors of 7273

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

1, 7, 1039, 7273

Least Common Multiple of 7268 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 7268 and 7273, than apply into the LCM equation.

GCF(7268,7273) = 1
LCM(7268,7273) = ( 7268 × 7273) / 1
LCM(7268,7273) = 52860164 / 1
LCM(7268,7273) = 52860164

Properties of LCM 7268 and 7273

(i) The LCM of 7273 and 7268 is associative

LCM of 7268 and 7273 = LCM of 7273 and 7268

Related Least Common Multiples of 7268

Related Least Common Multiples of 7273

Frequently Asked Questions on LCM of 7268 and 7273

1. What is the LCM of 7268 and 7273?

Answer: LCM of 7268 and 7273 is 52860164.

2. What are the Factors of 7268?

Answer: Factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268. There are 12 integers that are factors of 7268. The greatest factor of 7268 is 7268.

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 7268 and 7273?

Answer:

Least Common Multiple of 7268 and 7273 = 52860164

Step 1: Find the prime factorization of 7268

7268 = 2 x 2 x 23 x 79

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 = 52860164 = 2 x 2 x 7 x 23 x 79 x 1039

Step 4: Therefore, the least common multiple of 7268 and 7273 is 52860164.