Least Common Multiple of 7226 and 7230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7226 and 7230 the smallest integer that is 26121990 that is divisible by both numbers.

Least Common Multiple (LCM) of 7226 and 7230 is 26121990.

LCM(7226,7230) = 26121990

LCM of 7226 and 7230

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

LCM of:
and

Least Common Multiple of 7226 and 7230

LCM of 7226 and 7230 is 26121990

Least common multiple can be found by multiplying the highest exponent prime factors of 7226 and 7230. First we will calculate the prime factors of 7226 and 7230.

Prime Factorization of 7226


2 7226
3613 3613
1

Prime factors of 7226 are 2,3613. Prime factorization of 7226 in exponential form is:

7226 = 21×36131

Prime Factorization of 7230


2 7230
3 3615
5 1205
241 241
1

Prime factors of 7230 are 2, 3, 5,241. Prime factorization of 7230 in exponential form is:

7230 = 21×31×51×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 7226 and 7230.

LCM(7226,7230) = 21×31×51×2411×36131
LCM(7226,7230) = 26121990

Factors of 7226

List of positive integer factors of 7226 that divides 7226 without a remainder.

1, 2, 3613, 7226

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230

Least Common Multiple of 7226 and 7230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7226 and 7230, than apply into the LCM equation.

GCF(7226,7230) = 2
LCM(7226,7230) = ( 7226 × 7230) / 2
LCM(7226,7230) = 52243980 / 2
LCM(7226,7230) = 26121990

Properties of LCM 7226 and 7230

(i) The LCM of 7230 and 7226 is associative

LCM of 7226 and 7230 = LCM of 7230 and 7226

Related Least Common Multiples of 7226

Related Least Common Multiples of 7230

Frequently Asked Questions on LCM of 7226 and 7230

1. What is the LCM of 7226 and 7230?

Answer: LCM of 7226 and 7230 is 26121990.

2. What are the Factors of 7226?

Answer: Factors of 7226 are 1, 2, 3613, 7226. There are 4 integers that are factors of 7226. The greatest factor of 7226 is 7226.

3. What are the Factors of 7230?

Answer: Factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230. There are 16 integers that are factors of 7230. The greatest factor of 7230 is 7230.

4. How to Find the LCM of 7226 and 7230?

Answer:

Least Common Multiple of 7226 and 7230 = 26121990

Step 1: Find the prime factorization of 7226

7226 = 2 x 3613

Step 2: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

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

LCM = 26121990 = 2 x 3 x 5 x 241 x 3613

Step 4: Therefore, the least common multiple of 7226 and 7230 is 26121990.