Least Common Multiple of 4219 and 4223

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 4223 the smallest integer that is 17816837 that is divisible by both numbers.

Least Common Multiple (LCM) of 4219 and 4223 is 17816837.

LCM(4219,4223) = 17816837

LCM of 4219 and 4223

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

LCM of:
and

Least Common Multiple of 4219 and 4223

LCM of 4219 and 4223 is 17816837

Least common multiple can be found by multiplying the highest exponent prime factors of 4219 and 4223. First we will calculate the prime factors of 4219 and 4223.

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 4223


41 4223
103 103
1

Prime factors of 4223 are 41,103. Prime factorization of 4223 in exponential form is:

4223 = 411×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4219 and 4223.

LCM(4219,4223) = 411×1031×42191
LCM(4219,4223) = 17816837

Factors of 4219

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

1, 4219

Factors of 4223

List of positive integer factors of 4223 that divides 4223 without a remainder.

1, 41, 103, 4223

Least Common Multiple of 4219 and 4223 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 4223, than apply into the LCM equation.

GCF(4219,4223) = 1
LCM(4219,4223) = ( 4219 × 4223) / 1
LCM(4219,4223) = 17816837 / 1
LCM(4219,4223) = 17816837

Properties of LCM 4219 and 4223

(i) The LCM of 4223 and 4219 is associative

LCM of 4219 and 4223 = LCM of 4223 and 4219

Related Least Common Multiples of 4219

Related Least Common Multiples of 4223

Frequently Asked Questions on LCM of 4219 and 4223

1. What is the LCM of 4219 and 4223?

Answer: LCM of 4219 and 4223 is 17816837.

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 4223?

Answer: Factors of 4223 are 1, 41, 103, 4223. There are 4 integers that are factors of 4223. The greatest factor of 4223 is 4223.

4. How to Find the LCM of 4219 and 4223?

Answer:

Least Common Multiple of 4219 and 4223 = 17816837

Step 1: Find the prime factorization of 4219

4219 = 4219

Step 2: Find the prime factorization of 4223

4223 = 41 x 103

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

LCM = 17816837 = 41 x 103 x 4219

Step 4: Therefore, the least common multiple of 4219 and 4223 is 17816837.