Least Common Multiple of 4212 and 4219

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 4219 the smallest integer that is 17770428 that is divisible by both numbers.

Least Common Multiple (LCM) of 4212 and 4219 is 17770428.

LCM(4212,4219) = 17770428

LCM of 4212 and 4219

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

LCM of:
and

Least Common Multiple of 4212 and 4219

LCM of 4212 and 4219 is 17770428

Least common multiple can be found by multiplying the highest exponent prime factors of 4212 and 4219. First we will calculate the prime factors of 4212 and 4219.

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 4219


4219 4219
1

Prime factors of 4219 are 4219. Prime factorization of 4219 in exponential form is:

4219 = 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 4212 and 4219.

LCM(4212,4219) = 22×34×131×42191
LCM(4212,4219) = 17770428

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 4219

List of positive integer factors of 4219 that divides 4219 without a remainder.

1, 4219

Least Common Multiple of 4212 and 4219 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 4219, than apply into the LCM equation.

GCF(4212,4219) = 1
LCM(4212,4219) = ( 4212 × 4219) / 1
LCM(4212,4219) = 17770428 / 1
LCM(4212,4219) = 17770428

Properties of LCM 4212 and 4219

(i) The LCM of 4219 and 4212 is associative

LCM of 4212 and 4219 = LCM of 4219 and 4212

Related Least Common Multiples of 4212

Related Least Common Multiples of 4219

Frequently Asked Questions on LCM of 4212 and 4219

1. What is the LCM of 4212 and 4219?

Answer: LCM of 4212 and 4219 is 17770428.

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 4219?

Answer: Factors of 4219 are 1, 4219. There are 2 integers that are factors of 4219. The greatest factor of 4219 is 4219.

4. How to Find the LCM of 4212 and 4219?

Answer:

Least Common Multiple of 4212 and 4219 = 17770428

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 4219

4219 = 4219

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

LCM = 17770428 = 2 x 2 x 3 x 3 x 3 x 3 x 13 x 4219

Step 4: Therefore, the least common multiple of 4212 and 4219 is 17770428.