Least Common Multiple of 4216 and 4221

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 4221 the smallest integer that is 17795736 that is divisible by both numbers.

Least Common Multiple (LCM) of 4216 and 4221 is 17795736.

LCM(4216,4221) = 17795736

LCM of 4216 and 4221

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

LCM of:
and

Least Common Multiple of 4216 and 4221

LCM of 4216 and 4221 is 17795736

Least common multiple can be found by multiplying the highest exponent prime factors of 4216 and 4221. First we will calculate the prime factors of 4216 and 4221.

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 4221


3 4221
3 1407
7 469
67 67
1

Prime factors of 4221 are 3, 7,67. Prime factorization of 4221 in exponential form is:

4221 = 32×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4216 and 4221.

LCM(4216,4221) = 23×32×71×171×311×671
LCM(4216,4221) = 17795736

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 4221

List of positive integer factors of 4221 that divides 4221 without a remainder.

1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221

Least Common Multiple of 4216 and 4221 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 4221, than apply into the LCM equation.

GCF(4216,4221) = 1
LCM(4216,4221) = ( 4216 × 4221) / 1
LCM(4216,4221) = 17795736 / 1
LCM(4216,4221) = 17795736

Properties of LCM 4216 and 4221

(i) The LCM of 4221 and 4216 is associative

LCM of 4216 and 4221 = LCM of 4221 and 4216

Related Least Common Multiples of 4216

Related Least Common Multiples of 4221

Frequently Asked Questions on LCM of 4216 and 4221

1. What is the LCM of 4216 and 4221?

Answer: LCM of 4216 and 4221 is 17795736.

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 4221?

Answer: Factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221. There are 12 integers that are factors of 4221. The greatest factor of 4221 is 4221.

4. How to Find the LCM of 4216 and 4221?

Answer:

Least Common Multiple of 4216 and 4221 = 17795736

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 4221

4221 = 3 x 3 x 7 x 67

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

LCM = 17795736 = 2 x 2 x 2 x 3 x 3 x 7 x 17 x 31 x 67

Step 4: Therefore, the least common multiple of 4216 and 4221 is 17795736.