Least Common Multiple of 7223 and 7229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7223 and 7229 the smallest integer that is 52215067 that is divisible by both numbers.

Least Common Multiple (LCM) of 7223 and 7229 is 52215067.

LCM(7223,7229) = 52215067

LCM of 7223 and 7229

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

LCM of:
and

Least Common Multiple of 7223 and 7229

LCM of 7223 and 7229 is 52215067

Least common multiple can be found by multiplying the highest exponent prime factors of 7223 and 7229. First we will calculate the prime factors of 7223 and 7229.

Prime Factorization of 7223


31 7223
233 233
1

Prime factors of 7223 are 31,233. Prime factorization of 7223 in exponential form is:

7223 = 311×2331

Prime Factorization of 7229


7229 7229
1

Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:

7229 = 72291

Now multiplying the highest exponent prime factors to calculate the LCM of 7223 and 7229.

LCM(7223,7229) = 311×2331×72291
LCM(7223,7229) = 52215067

Factors of 7223

List of positive integer factors of 7223 that divides 7223 without a remainder.

1, 31, 233, 7223

Factors of 7229

List of positive integer factors of 7229 that divides 7229 without a remainder.

1, 7229

Least Common Multiple of 7223 and 7229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7223 and 7229, than apply into the LCM equation.

GCF(7223,7229) = 1
LCM(7223,7229) = ( 7223 × 7229) / 1
LCM(7223,7229) = 52215067 / 1
LCM(7223,7229) = 52215067

Properties of LCM 7223 and 7229

(i) The LCM of 7229 and 7223 is associative

LCM of 7223 and 7229 = LCM of 7229 and 7223

Related Least Common Multiples of 7223

Related Least Common Multiples of 7229

Frequently Asked Questions on LCM of 7223 and 7229

1. What is the LCM of 7223 and 7229?

Answer: LCM of 7223 and 7229 is 52215067.

2. What are the Factors of 7223?

Answer: Factors of 7223 are 1, 31, 233, 7223. There are 4 integers that are factors of 7223. The greatest factor of 7223 is 7223.

3. What are the Factors of 7229?

Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.

4. How to Find the LCM of 7223 and 7229?

Answer:

Least Common Multiple of 7223 and 7229 = 52215067

Step 1: Find the prime factorization of 7223

7223 = 31 x 233

Step 2: Find the prime factorization of 7229

7229 = 7229

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

LCM = 52215067 = 31 x 233 x 7229

Step 4: Therefore, the least common multiple of 7223 and 7229 is 52215067.