Least Common Multiple of 7223 and 7228

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 7228 the smallest integer that is 52207844 that is divisible by both numbers.

Least Common Multiple (LCM) of 7223 and 7228 is 52207844.

LCM(7223,7228) = 52207844

LCM of 7223 and 7228

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

LCM of:
and

Least Common Multiple of 7223 and 7228

LCM of 7223 and 7228 is 52207844

Least common multiple can be found by multiplying the highest exponent prime factors of 7223 and 7228. First we will calculate the prime factors of 7223 and 7228.

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 7228


2 7228
2 3614
13 1807
139 139
1

Prime factors of 7228 are 2, 13,139. Prime factorization of 7228 in exponential form is:

7228 = 22×131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7223 and 7228.

LCM(7223,7228) = 22×131×311×1391×2331
LCM(7223,7228) = 52207844

Factors of 7223

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

1, 31, 233, 7223

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228

Least Common Multiple of 7223 and 7228 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 7228, than apply into the LCM equation.

GCF(7223,7228) = 1
LCM(7223,7228) = ( 7223 × 7228) / 1
LCM(7223,7228) = 52207844 / 1
LCM(7223,7228) = 52207844

Properties of LCM 7223 and 7228

(i) The LCM of 7228 and 7223 is associative

LCM of 7223 and 7228 = LCM of 7228 and 7223

Related Least Common Multiples of 7223

Related Least Common Multiples of 7228

Frequently Asked Questions on LCM of 7223 and 7228

1. What is the LCM of 7223 and 7228?

Answer: LCM of 7223 and 7228 is 52207844.

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 7228?

Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.

4. How to Find the LCM of 7223 and 7228?

Answer:

Least Common Multiple of 7223 and 7228 = 52207844

Step 1: Find the prime factorization of 7223

7223 = 31 x 233

Step 2: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

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

LCM = 52207844 = 2 x 2 x 13 x 31 x 139 x 233

Step 4: Therefore, the least common multiple of 7223 and 7228 is 52207844.