Least Common Multiple of 4213 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 4213 and 4219 the smallest integer that is 17774647 that is divisible by both numbers.

Least Common Multiple (LCM) of 4213 and 4219 is 17774647.

LCM(4213,4219) = 17774647

LCM of 4213 and 4219

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

LCM of:
and

Least Common Multiple of 4213 and 4219

LCM of 4213 and 4219 is 17774647

Least common multiple can be found by multiplying the highest exponent prime factors of 4213 and 4219. First we will calculate the prime factors of 4213 and 4219.

Prime Factorization of 4213


11 4213
383 383
1

Prime factors of 4213 are 11,383. Prime factorization of 4213 in exponential form is:

4213 = 111×3831

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 4213 and 4219.

LCM(4213,4219) = 111×3831×42191
LCM(4213,4219) = 17774647

Factors of 4213

List of positive integer factors of 4213 that divides 4213 without a remainder.

1, 11, 383, 4213

Factors of 4219

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

1, 4219

Least Common Multiple of 4213 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 4213 and 4219, than apply into the LCM equation.

GCF(4213,4219) = 1
LCM(4213,4219) = ( 4213 × 4219) / 1
LCM(4213,4219) = 17774647 / 1
LCM(4213,4219) = 17774647

Properties of LCM 4213 and 4219

(i) The LCM of 4219 and 4213 is associative

LCM of 4213 and 4219 = LCM of 4219 and 4213

Related Least Common Multiples of 4213

Related Least Common Multiples of 4219

Frequently Asked Questions on LCM of 4213 and 4219

1. What is the LCM of 4213 and 4219?

Answer: LCM of 4213 and 4219 is 17774647.

2. What are the Factors of 4213?

Answer: Factors of 4213 are 1, 11, 383, 4213. There are 4 integers that are factors of 4213. The greatest factor of 4213 is 4213.

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 4213 and 4219?

Answer:

Least Common Multiple of 4213 and 4219 = 17774647

Step 1: Find the prime factorization of 4213

4213 = 11 x 383

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 = 17774647 = 11 x 383 x 4219

Step 4: Therefore, the least common multiple of 4213 and 4219 is 17774647.