Least Common Multiple of 4220 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 4220 and 4225 the smallest integer that is 3565900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4220 and 4225 is 3565900.

LCM(4220,4225) = 3565900

LCM of 4220 and 4225

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

LCM of:
and

Least Common Multiple of 4220 and 4225

LCM of 4220 and 4225 is 3565900

Least common multiple can be found by multiplying the highest exponent prime factors of 4220 and 4225. First we will calculate the prime factors of 4220 and 4225.

Prime Factorization of 4220


2 4220
2 2110
5 1055
211 211
1

Prime factors of 4220 are 2, 5,211. Prime factorization of 4220 in exponential form is:

4220 = 22×51×2111

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 4220 and 4225.

LCM(4220,4225) = 22×52×132×2111
LCM(4220,4225) = 3565900

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220

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 4220 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 4220 and 4225, than apply into the LCM equation.

GCF(4220,4225) = 5
LCM(4220,4225) = ( 4220 × 4225) / 5
LCM(4220,4225) = 17829500 / 5
LCM(4220,4225) = 3565900

Properties of LCM 4220 and 4225

(i) The LCM of 4225 and 4220 is associative

LCM of 4220 and 4225 = LCM of 4225 and 4220

Related Least Common Multiples of 4220

Related Least Common Multiples of 4225

Frequently Asked Questions on LCM of 4220 and 4225

1. What is the LCM of 4220 and 4225?

Answer: LCM of 4220 and 4225 is 3565900.

2. What are the Factors of 4220?

Answer: Factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. There are 12 integers that are factors of 4220. The greatest factor of 4220 is 4220.

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 4220 and 4225?

Answer:

Least Common Multiple of 4220 and 4225 = 3565900

Step 1: Find the prime factorization of 4220

4220 = 2 x 2 x 5 x 211

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 = 3565900 = 2 x 2 x 5 x 5 x 13 x 13 x 211

Step 4: Therefore, the least common multiple of 4220 and 4225 is 3565900.