Least Common Multiple of 10216 and 10223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10216 and 10223 the smallest integer that is 104438168 that is divisible by both numbers.

Least Common Multiple (LCM) of 10216 and 10223 is 104438168.

LCM(10216,10223) = 104438168

LCM of 10216 and 10223

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

LCM of:
and

Least Common Multiple of 10216 and 10223

LCM of 10216 and 10223 is 104438168

Least common multiple can be found by multiplying the highest exponent prime factors of 10216 and 10223. First we will calculate the prime factors of 10216 and 10223.

Prime Factorization of 10216


2 10216
2 5108
2 2554
1277 1277
1

Prime factors of 10216 are 2,1277. Prime factorization of 10216 in exponential form is:

10216 = 23×12771

Prime Factorization of 10223


10223 10223
1

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

10223 = 102231

Now multiplying the highest exponent prime factors to calculate the LCM of 10216 and 10223.

LCM(10216,10223) = 23×12771×102231
LCM(10216,10223) = 104438168

Factors of 10216

List of positive integer factors of 10216 that divides 10216 without a remainder.

1, 2, 4, 8, 1277, 2554, 5108, 10216

Factors of 10223

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

1, 10223

Least Common Multiple of 10216 and 10223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10216 and 10223, than apply into the LCM equation.

GCF(10216,10223) = 1
LCM(10216,10223) = ( 10216 × 10223) / 1
LCM(10216,10223) = 104438168 / 1
LCM(10216,10223) = 104438168

Properties of LCM 10216 and 10223

(i) The LCM of 10223 and 10216 is associative

LCM of 10216 and 10223 = LCM of 10223 and 10216

Related Least Common Multiples of 10216

Related Least Common Multiples of 10223

Frequently Asked Questions on LCM of 10216 and 10223

1. What is the LCM of 10216 and 10223?

Answer: LCM of 10216 and 10223 is 104438168.

2. What are the Factors of 10216?

Answer: Factors of 10216 are 1, 2, 4, 8, 1277, 2554, 5108, 10216. There are 8 integers that are factors of 10216. The greatest factor of 10216 is 10216.

3. 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.

4. How to Find the LCM of 10216 and 10223?

Answer:

Least Common Multiple of 10216 and 10223 = 104438168

Step 1: Find the prime factorization of 10216

10216 = 2 x 2 x 2 x 1277

Step 2: Find the prime factorization of 10223

10223 = 10223

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

LCM = 104438168 = 2 x 2 x 2 x 1277 x 10223

Step 4: Therefore, the least common multiple of 10216 and 10223 is 104438168.