Least Common Multiple of 10223 and 10228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10223 and 10228 the smallest integer that is 104560844 that is divisible by both numbers.

Least Common Multiple (LCM) of 10223 and 10228 is 104560844.

LCM(10223,10228) = 104560844

LCM of 10223 and 10228

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

LCM of:
and

Least Common Multiple of 10223 and 10228

LCM of 10223 and 10228 is 104560844

Least common multiple can be found by multiplying the highest exponent prime factors of 10223 and 10228. First we will calculate the prime factors of 10223 and 10228.

Prime Factorization of 10223


10223 10223
1

Prime factors of 10223 are 10223. Prime factorization of 10223 in exponential form is:

10223 = 102231

Prime Factorization of 10228


2 10228
2 5114
2557 2557
1

Prime factors of 10228 are 2,2557. Prime factorization of 10228 in exponential form is:

10228 = 22×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 10223 and 10228.

LCM(10223,10228) = 22×25571×102231
LCM(10223,10228) = 104560844

Factors of 10223

List of positive integer factors of 10223 that divides 10223 without a remainder.

1, 10223

Factors of 10228

List of positive integer factors of 10228 that divides 10228 without a remainder.

1, 2, 4, 2557, 5114, 10228

Least Common Multiple of 10223 and 10228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10223 and 10228, than apply into the LCM equation.

GCF(10223,10228) = 1
LCM(10223,10228) = ( 10223 × 10228) / 1
LCM(10223,10228) = 104560844 / 1
LCM(10223,10228) = 104560844

Properties of LCM 10223 and 10228

(i) The LCM of 10228 and 10223 is associative

LCM of 10223 and 10228 = LCM of 10228 and 10223

Related Least Common Multiples of 10223

Related Least Common Multiples of 10228

Frequently Asked Questions on LCM of 10223 and 10228

1. What is the LCM of 10223 and 10228?

Answer: LCM of 10223 and 10228 is 104560844.

2. What are the Factors of 10223?

Answer: Factors of 10223 are 1, 10223. There are 2 integers that are factors of 10223. The greatest factor of 10223 is 10223.

3. What are the Factors of 10228?

Answer: Factors of 10228 are 1, 2, 4, 2557, 5114, 10228. There are 6 integers that are factors of 10228. The greatest factor of 10228 is 10228.

4. How to Find the LCM of 10223 and 10228?

Answer:

Least Common Multiple of 10223 and 10228 = 104560844

Step 1: Find the prime factorization of 10223

10223 = 10223

Step 2: Find the prime factorization of 10228

10228 = 2 x 2 x 2557

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

LCM = 104560844 = 2 x 2 x 2557 x 10223

Step 4: Therefore, the least common multiple of 10223 and 10228 is 104560844.