Least Common Multiple of 7226 and 7234

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 7234 the smallest integer that is 26136442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7226 and 7234 is 26136442.

LCM(7226,7234) = 26136442

LCM of 7226 and 7234

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

LCM of:
and

Least Common Multiple of 7226 and 7234

LCM of 7226 and 7234 is 26136442

Least common multiple can be found by multiplying the highest exponent prime factors of 7226 and 7234. First we will calculate the prime factors of 7226 and 7234.

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 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

Now multiplying the highest exponent prime factors to calculate the LCM of 7226 and 7234.

LCM(7226,7234) = 21×36131×36171
LCM(7226,7234) = 26136442

Factors of 7226

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

1, 2, 3613, 7226

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617, 7234

Least Common Multiple of 7226 and 7234 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 7234, than apply into the LCM equation.

GCF(7226,7234) = 2
LCM(7226,7234) = ( 7226 × 7234) / 2
LCM(7226,7234) = 52272884 / 2
LCM(7226,7234) = 26136442

Properties of LCM 7226 and 7234

(i) The LCM of 7234 and 7226 is associative

LCM of 7226 and 7234 = LCM of 7234 and 7226

Related Least Common Multiples of 7226

Related Least Common Multiples of 7234

Frequently Asked Questions on LCM of 7226 and 7234

1. What is the LCM of 7226 and 7234?

Answer: LCM of 7226 and 7234 is 26136442.

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 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

4. How to Find the LCM of 7226 and 7234?

Answer:

Least Common Multiple of 7226 and 7234 = 26136442

Step 1: Find the prime factorization of 7226

7226 = 2 x 3613

Step 2: Find the prime factorization of 7234

7234 = 2 x 3617

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

LCM = 26136442 = 2 x 3613 x 3617

Step 4: Therefore, the least common multiple of 7226 and 7234 is 26136442.