Least Common Multiple of 4219 and 4227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4219 and 4227 the smallest integer that is 17833713 that is divisible by both numbers.

Least Common Multiple (LCM) of 4219 and 4227 is 17833713.

LCM(4219,4227) = 17833713

LCM of 4219 and 4227

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

LCM of:
and

Least Common Multiple of 4219 and 4227

LCM of 4219 and 4227 is 17833713

Least common multiple can be found by multiplying the highest exponent prime factors of 4219 and 4227. First we will calculate the prime factors of 4219 and 4227.

Prime Factorization of 4219


4219 4219
1

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

4219 = 42191

Prime Factorization of 4227


3 4227
1409 1409
1

Prime factors of 4227 are 3,1409. Prime factorization of 4227 in exponential form is:

4227 = 31×14091

Now multiplying the highest exponent prime factors to calculate the LCM of 4219 and 4227.

LCM(4219,4227) = 31×14091×42191
LCM(4219,4227) = 17833713

Factors of 4219

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

1, 4219

Factors of 4227

List of positive integer factors of 4227 that divides 4227 without a remainder.

1, 3, 1409, 4227

Least Common Multiple of 4219 and 4227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4219 and 4227, than apply into the LCM equation.

GCF(4219,4227) = 1
LCM(4219,4227) = ( 4219 × 4227) / 1
LCM(4219,4227) = 17833713 / 1
LCM(4219,4227) = 17833713

Properties of LCM 4219 and 4227

(i) The LCM of 4227 and 4219 is associative

LCM of 4219 and 4227 = LCM of 4227 and 4219

Related Least Common Multiples of 4219

Related Least Common Multiples of 4227

Frequently Asked Questions on LCM of 4219 and 4227

1. What is the LCM of 4219 and 4227?

Answer: LCM of 4219 and 4227 is 17833713.

2. 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.

3. What are the Factors of 4227?

Answer: Factors of 4227 are 1, 3, 1409, 4227. There are 4 integers that are factors of 4227. The greatest factor of 4227 is 4227.

4. How to Find the LCM of 4219 and 4227?

Answer:

Least Common Multiple of 4219 and 4227 = 17833713

Step 1: Find the prime factorization of 4219

4219 = 4219

Step 2: Find the prime factorization of 4227

4227 = 3 x 1409

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

LCM = 17833713 = 3 x 1409 x 4219

Step 4: Therefore, the least common multiple of 4219 and 4227 is 17833713.