Least Common Multiple of 4219 and 4224

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 4224 the smallest integer that is 17821056 that is divisible by both numbers.

Least Common Multiple (LCM) of 4219 and 4224 is 17821056.

LCM(4219,4224) = 17821056

LCM of 4219 and 4224

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

LCM of:
and

Least Common Multiple of 4219 and 4224

LCM of 4219 and 4224 is 17821056

Least common multiple can be found by multiplying the highest exponent prime factors of 4219 and 4224. First we will calculate the prime factors of 4219 and 4224.

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 4224


2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 4224 are 2, 3,11. Prime factorization of 4224 in exponential form is:

4224 = 27×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4219 and 4224.

LCM(4219,4224) = 27×31×111×42191
LCM(4219,4224) = 17821056

Factors of 4219

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

1, 4219

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224

Least Common Multiple of 4219 and 4224 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 4224, than apply into the LCM equation.

GCF(4219,4224) = 1
LCM(4219,4224) = ( 4219 × 4224) / 1
LCM(4219,4224) = 17821056 / 1
LCM(4219,4224) = 17821056

Properties of LCM 4219 and 4224

(i) The LCM of 4224 and 4219 is associative

LCM of 4219 and 4224 = LCM of 4224 and 4219

Related Least Common Multiples of 4219

Related Least Common Multiples of 4224

Frequently Asked Questions on LCM of 4219 and 4224

1. What is the LCM of 4219 and 4224?

Answer: LCM of 4219 and 4224 is 17821056.

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 4224?

Answer: Factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224. There are 32 integers that are factors of 4224. The greatest factor of 4224 is 4224.

4. How to Find the LCM of 4219 and 4224?

Answer:

Least Common Multiple of 4219 and 4224 = 17821056

Step 1: Find the prime factorization of 4219

4219 = 4219

Step 2: Find the prime factorization of 4224

4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 17821056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 4219

Step 4: Therefore, the least common multiple of 4219 and 4224 is 17821056.