Least Common Multiple of 7226 and 7231

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 7231 the smallest integer that is 52251206 that is divisible by both numbers.

Least Common Multiple (LCM) of 7226 and 7231 is 52251206.

LCM(7226,7231) = 52251206

LCM of 7226 and 7231

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

LCM of:
and

Least Common Multiple of 7226 and 7231

LCM of 7226 and 7231 is 52251206

Least common multiple can be found by multiplying the highest exponent prime factors of 7226 and 7231. First we will calculate the prime factors of 7226 and 7231.

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 7231


7 7231
1033 1033
1

Prime factors of 7231 are 7,1033. Prime factorization of 7231 in exponential form is:

7231 = 71×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 7226 and 7231.

LCM(7226,7231) = 21×71×10331×36131
LCM(7226,7231) = 52251206

Factors of 7226

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

1, 2, 3613, 7226

Factors of 7231

List of positive integer factors of 7231 that divides 7231 without a remainder.

1, 7, 1033, 7231

Least Common Multiple of 7226 and 7231 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 7231, than apply into the LCM equation.

GCF(7226,7231) = 1
LCM(7226,7231) = ( 7226 × 7231) / 1
LCM(7226,7231) = 52251206 / 1
LCM(7226,7231) = 52251206

Properties of LCM 7226 and 7231

(i) The LCM of 7231 and 7226 is associative

LCM of 7226 and 7231 = LCM of 7231 and 7226

Related Least Common Multiples of 7226

Related Least Common Multiples of 7231

Frequently Asked Questions on LCM of 7226 and 7231

1. What is the LCM of 7226 and 7231?

Answer: LCM of 7226 and 7231 is 52251206.

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 7231?

Answer: Factors of 7231 are 1, 7, 1033, 7231. There are 4 integers that are factors of 7231. The greatest factor of 7231 is 7231.

4. How to Find the LCM of 7226 and 7231?

Answer:

Least Common Multiple of 7226 and 7231 = 52251206

Step 1: Find the prime factorization of 7226

7226 = 2 x 3613

Step 2: Find the prime factorization of 7231

7231 = 7 x 1033

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

LCM = 52251206 = 2 x 7 x 1033 x 3613

Step 4: Therefore, the least common multiple of 7226 and 7231 is 52251206.