Least Common Multiple of 4219 and 4225

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 4225 the smallest integer that is 17825275 that is divisible by both numbers.

Least Common Multiple (LCM) of 4219 and 4225 is 17825275.

LCM(4219,4225) = 17825275

LCM of 4219 and 4225

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

LCM of:
and

Least Common Multiple of 4219 and 4225

LCM of 4219 and 4225 is 17825275

Least common multiple can be found by multiplying the highest exponent prime factors of 4219 and 4225. First we will calculate the prime factors of 4219 and 4225.

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 4225


5 4225
5 845
13 169
13 13
1

Prime factors of 4225 are 5,13. Prime factorization of 4225 in exponential form is:

4225 = 52×132

Now multiplying the highest exponent prime factors to calculate the LCM of 4219 and 4225.

LCM(4219,4225) = 52×132×42191
LCM(4219,4225) = 17825275

Factors of 4219

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

1, 4219

Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845, 4225

Least Common Multiple of 4219 and 4225 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 4225, than apply into the LCM equation.

GCF(4219,4225) = 1
LCM(4219,4225) = ( 4219 × 4225) / 1
LCM(4219,4225) = 17825275 / 1
LCM(4219,4225) = 17825275

Properties of LCM 4219 and 4225

(i) The LCM of 4225 and 4219 is associative

LCM of 4219 and 4225 = LCM of 4225 and 4219

Related Least Common Multiples of 4219

Related Least Common Multiples of 4225

Frequently Asked Questions on LCM of 4219 and 4225

1. What is the LCM of 4219 and 4225?

Answer: LCM of 4219 and 4225 is 17825275.

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 4225?

Answer: Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225. There are 9 integers that are factors of 4225. The greatest factor of 4225 is 4225.

4. How to Find the LCM of 4219 and 4225?

Answer:

Least Common Multiple of 4219 and 4225 = 17825275

Step 1: Find the prime factorization of 4219

4219 = 4219

Step 2: Find the prime factorization of 4225

4225 = 5 x 5 x 13 x 13

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

LCM = 17825275 = 5 x 5 x 13 x 13 x 4219

Step 4: Therefore, the least common multiple of 4219 and 4225 is 17825275.