Least Common Multiple of 4216 and 4223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4216 and 4223 the smallest integer that is 17804168 that is divisible by both numbers.

Least Common Multiple (LCM) of 4216 and 4223 is 17804168.

LCM(4216,4223) = 17804168

LCM of 4216 and 4223

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

LCM of:
and

Least Common Multiple of 4216 and 4223

LCM of 4216 and 4223 is 17804168

Least common multiple can be found by multiplying the highest exponent prime factors of 4216 and 4223. First we will calculate the prime factors of 4216 and 4223.

Prime Factorization of 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2, 17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

Prime Factorization of 4223


41 4223
103 103
1

Prime factors of 4223 are 41,103. Prime factorization of 4223 in exponential form is:

4223 = 411×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4216 and 4223.

LCM(4216,4223) = 23×171×311×411×1031
LCM(4216,4223) = 17804168

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216

Factors of 4223

List of positive integer factors of 4223 that divides 4223 without a remainder.

1, 41, 103, 4223

Least Common Multiple of 4216 and 4223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4216 and 4223, than apply into the LCM equation.

GCF(4216,4223) = 1
LCM(4216,4223) = ( 4216 × 4223) / 1
LCM(4216,4223) = 17804168 / 1
LCM(4216,4223) = 17804168

Properties of LCM 4216 and 4223

(i) The LCM of 4223 and 4216 is associative

LCM of 4216 and 4223 = LCM of 4223 and 4216

Related Least Common Multiples of 4216

Related Least Common Multiples of 4223

Frequently Asked Questions on LCM of 4216 and 4223

1. What is the LCM of 4216 and 4223?

Answer: LCM of 4216 and 4223 is 17804168.

2. What are the Factors of 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

3. What are the Factors of 4223?

Answer: Factors of 4223 are 1, 41, 103, 4223. There are 4 integers that are factors of 4223. The greatest factor of 4223 is 4223.

4. How to Find the LCM of 4216 and 4223?

Answer:

Least Common Multiple of 4216 and 4223 = 17804168

Step 1: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

Step 2: Find the prime factorization of 4223

4223 = 41 x 103

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

LCM = 17804168 = 2 x 2 x 2 x 17 x 31 x 41 x 103

Step 4: Therefore, the least common multiple of 4216 and 4223 is 17804168.