Least Common Multiple of 6220 and 6225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6220 and 6225 the smallest integer that is 7743900 that is divisible by both numbers.

Least Common Multiple (LCM) of 6220 and 6225 is 7743900.

LCM(6220,6225) = 7743900

LCM of 6220 and 6225

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

LCM of:
and

Least Common Multiple of 6220 and 6225

LCM of 6220 and 6225 is 7743900

Least common multiple can be found by multiplying the highest exponent prime factors of 6220 and 6225. First we will calculate the prime factors of 6220 and 6225.

Prime Factorization of 6220


2 6220
2 3110
5 1555
311 311
1

Prime factors of 6220 are 2, 5,311. Prime factorization of 6220 in exponential form is:

6220 = 22×51×3111

Prime Factorization of 6225


3 6225
5 2075
5 415
83 83
1

Prime factors of 6225 are 3, 5,83. Prime factorization of 6225 in exponential form is:

6225 = 31×52×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6220 and 6225.

LCM(6220,6225) = 22×31×52×831×3111
LCM(6220,6225) = 7743900

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220

Factors of 6225

List of positive integer factors of 6225 that divides 6225 without a remainder.

1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225

Least Common Multiple of 6220 and 6225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6220 and 6225, than apply into the LCM equation.

GCF(6220,6225) = 5
LCM(6220,6225) = ( 6220 × 6225) / 5
LCM(6220,6225) = 38719500 / 5
LCM(6220,6225) = 7743900

Properties of LCM 6220 and 6225

(i) The LCM of 6225 and 6220 is associative

LCM of 6220 and 6225 = LCM of 6225 and 6220

Related Least Common Multiples of 6220

Related Least Common Multiples of 6225

Frequently Asked Questions on LCM of 6220 and 6225

1. What is the LCM of 6220 and 6225?

Answer: LCM of 6220 and 6225 is 7743900.

2. What are the Factors of 6220?

Answer: Factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220. There are 12 integers that are factors of 6220. The greatest factor of 6220 is 6220.

3. What are the Factors of 6225?

Answer: Factors of 6225 are 1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225. There are 12 integers that are factors of 6225. The greatest factor of 6225 is 6225.

4. How to Find the LCM of 6220 and 6225?

Answer:

Least Common Multiple of 6220 and 6225 = 7743900

Step 1: Find the prime factorization of 6220

6220 = 2 x 2 x 5 x 311

Step 2: Find the prime factorization of 6225

6225 = 3 x 5 x 5 x 83

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

LCM = 7743900 = 2 x 2 x 3 x 5 x 5 x 83 x 311

Step 4: Therefore, the least common multiple of 6220 and 6225 is 7743900.