Least Common Multiple of 4217 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 4217 and 4221 the smallest integer that is 17799957 that is divisible by both numbers.

Least Common Multiple (LCM) of 4217 and 4221 is 17799957.

LCM(4217,4221) = 17799957

LCM of 4217 and 4221

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

LCM of:
and

Least Common Multiple of 4217 and 4221

LCM of 4217 and 4221 is 17799957

Least common multiple can be found by multiplying the highest exponent prime factors of 4217 and 4221. First we will calculate the prime factors of 4217 and 4221.

Prime Factorization of 4217


4217 4217
1

Prime factors of 4217 are 4217. Prime factorization of 4217 in exponential form is:

4217 = 42171

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 4217 and 4221.

LCM(4217,4221) = 32×71×671×42171
LCM(4217,4221) = 17799957

Factors of 4217

List of positive integer factors of 4217 that divides 4217 without a remainder.

1, 4217

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 4217 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 4217 and 4221, than apply into the LCM equation.

GCF(4217,4221) = 1
LCM(4217,4221) = ( 4217 × 4221) / 1
LCM(4217,4221) = 17799957 / 1
LCM(4217,4221) = 17799957

Properties of LCM 4217 and 4221

(i) The LCM of 4221 and 4217 is associative

LCM of 4217 and 4221 = LCM of 4221 and 4217

Related Least Common Multiples of 4217

Related Least Common Multiples of 4221

Frequently Asked Questions on LCM of 4217 and 4221

1. What is the LCM of 4217 and 4221?

Answer: LCM of 4217 and 4221 is 17799957.

2. What are the Factors of 4217?

Answer: Factors of 4217 are 1, 4217. There are 2 integers that are factors of 4217. The greatest factor of 4217 is 4217.

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 4217 and 4221?

Answer:

Least Common Multiple of 4217 and 4221 = 17799957

Step 1: Find the prime factorization of 4217

4217 = 4217

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 = 17799957 = 3 x 3 x 7 x 67 x 4217

Step 4: Therefore, the least common multiple of 4217 and 4221 is 17799957.