Least Common Multiple of 4212 and 4217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4212 and 4217 the smallest integer that is 17762004 that is divisible by both numbers.

Least Common Multiple (LCM) of 4212 and 4217 is 17762004.

LCM(4212,4217) = 17762004

LCM of 4212 and 4217

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

LCM of:
and

Least Common Multiple of 4212 and 4217

LCM of 4212 and 4217 is 17762004

Least common multiple can be found by multiplying the highest exponent prime factors of 4212 and 4217. First we will calculate the prime factors of 4212 and 4217.

Prime Factorization of 4212


2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 4212 are 2, 3,13. Prime factorization of 4212 in exponential form is:

4212 = 22×34×131

Prime Factorization of 4217


4217 4217
1

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

4217 = 42171

Now multiplying the highest exponent prime factors to calculate the LCM of 4212 and 4217.

LCM(4212,4217) = 22×34×131×42171
LCM(4212,4217) = 17762004

Factors of 4212

List of positive integer factors of 4212 that divides 4212 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212

Factors of 4217

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

1, 4217

Least Common Multiple of 4212 and 4217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4212 and 4217, than apply into the LCM equation.

GCF(4212,4217) = 1
LCM(4212,4217) = ( 4212 × 4217) / 1
LCM(4212,4217) = 17762004 / 1
LCM(4212,4217) = 17762004

Properties of LCM 4212 and 4217

(i) The LCM of 4217 and 4212 is associative

LCM of 4212 and 4217 = LCM of 4217 and 4212

Related Least Common Multiples of 4212

Related Least Common Multiples of 4217

Frequently Asked Questions on LCM of 4212 and 4217

1. What is the LCM of 4212 and 4217?

Answer: LCM of 4212 and 4217 is 17762004.

2. What are the Factors of 4212?

Answer: Factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212. There are 30 integers that are factors of 4212. The greatest factor of 4212 is 4212.

3. 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.

4. How to Find the LCM of 4212 and 4217?

Answer:

Least Common Multiple of 4212 and 4217 = 17762004

Step 1: Find the prime factorization of 4212

4212 = 2 x 2 x 3 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 4217

4217 = 4217

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

LCM = 17762004 = 2 x 2 x 3 x 3 x 3 x 3 x 13 x 4217

Step 4: Therefore, the least common multiple of 4212 and 4217 is 17762004.