Least Common Multiple of 7221 and 7226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7221 and 7226 the smallest integer that is 52178946 that is divisible by both numbers.

Least Common Multiple (LCM) of 7221 and 7226 is 52178946.

LCM(7221,7226) = 52178946

LCM of 7221 and 7226

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

LCM of:
and

Least Common Multiple of 7221 and 7226

LCM of 7221 and 7226 is 52178946

Least common multiple can be found by multiplying the highest exponent prime factors of 7221 and 7226. First we will calculate the prime factors of 7221 and 7226.

Prime Factorization of 7221


3 7221
29 2407
83 83
1

Prime factors of 7221 are 3, 29,83. Prime factorization of 7221 in exponential form is:

7221 = 31×291×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7221 and 7226.

LCM(7221,7226) = 21×31×291×831×36131
LCM(7221,7226) = 52178946

Factors of 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1, 3, 29, 83, 87, 249, 2407, 7221

Factors of 7226

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

1, 2, 3613, 7226

Least Common Multiple of 7221 and 7226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7221 and 7226, than apply into the LCM equation.

GCF(7221,7226) = 1
LCM(7221,7226) = ( 7221 × 7226) / 1
LCM(7221,7226) = 52178946 / 1
LCM(7221,7226) = 52178946

Properties of LCM 7221 and 7226

(i) The LCM of 7226 and 7221 is associative

LCM of 7221 and 7226 = LCM of 7226 and 7221

Related Least Common Multiples of 7221

Related Least Common Multiples of 7226

Frequently Asked Questions on LCM of 7221 and 7226

1. What is the LCM of 7221 and 7226?

Answer: LCM of 7221 and 7226 is 52178946.

2. What are the Factors of 7221?

Answer: Factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221. There are 8 integers that are factors of 7221. The greatest factor of 7221 is 7221.

3. 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.

4. How to Find the LCM of 7221 and 7226?

Answer:

Least Common Multiple of 7221 and 7226 = 52178946

Step 1: Find the prime factorization of 7221

7221 = 3 x 29 x 83

Step 2: Find the prime factorization of 7226

7226 = 2 x 3613

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

LCM = 52178946 = 2 x 3 x 29 x 83 x 3613

Step 4: Therefore, the least common multiple of 7221 and 7226 is 52178946.