Least Common Multiple of 4218 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 4218 and 4225 the smallest integer that is 17821050 that is divisible by both numbers.

Least Common Multiple (LCM) of 4218 and 4225 is 17821050.

LCM(4218,4225) = 17821050

LCM of 4218 and 4225

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

LCM of:
and

Least Common Multiple of 4218 and 4225

LCM of 4218 and 4225 is 17821050

Least common multiple can be found by multiplying the highest exponent prime factors of 4218 and 4225. First we will calculate the prime factors of 4218 and 4225.

Prime Factorization of 4218


2 4218
3 2109
19 703
37 37
1

Prime factors of 4218 are 2, 3, 19,37. Prime factorization of 4218 in exponential form is:

4218 = 21×31×191×371

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 4218 and 4225.

LCM(4218,4225) = 21×31×52×132×191×371
LCM(4218,4225) = 17821050

Factors of 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218

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 4218 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 4218 and 4225, than apply into the LCM equation.

GCF(4218,4225) = 1
LCM(4218,4225) = ( 4218 × 4225) / 1
LCM(4218,4225) = 17821050 / 1
LCM(4218,4225) = 17821050

Properties of LCM 4218 and 4225

(i) The LCM of 4225 and 4218 is associative

LCM of 4218 and 4225 = LCM of 4225 and 4218

Related Least Common Multiples of 4218

Related Least Common Multiples of 4225

Frequently Asked Questions on LCM of 4218 and 4225

1. What is the LCM of 4218 and 4225?

Answer: LCM of 4218 and 4225 is 17821050.

2. What are the Factors of 4218?

Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.

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 4218 and 4225?

Answer:

Least Common Multiple of 4218 and 4225 = 17821050

Step 1: Find the prime factorization of 4218

4218 = 2 x 3 x 19 x 37

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 = 17821050 = 2 x 3 x 5 x 5 x 13 x 13 x 19 x 37

Step 4: Therefore, the least common multiple of 4218 and 4225 is 17821050.