Least Common Multiple of 7218 and 7225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7218 and 7225 the smallest integer that is 52150050 that is divisible by both numbers.

Least Common Multiple (LCM) of 7218 and 7225 is 52150050.

LCM(7218,7225) = 52150050

LCM of 7218 and 7225

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

LCM of:
and

Least Common Multiple of 7218 and 7225

LCM of 7218 and 7225 is 52150050

Least common multiple can be found by multiplying the highest exponent prime factors of 7218 and 7225. First we will calculate the prime factors of 7218 and 7225.

Prime Factorization of 7218


2 7218
3 3609
3 1203
401 401
1

Prime factors of 7218 are 2, 3,401. Prime factorization of 7218 in exponential form is:

7218 = 21×32×4011

Prime Factorization of 7225


5 7225
5 1445
17 289
17 17
1

Prime factors of 7225 are 5,17. Prime factorization of 7225 in exponential form is:

7225 = 52×172

Now multiplying the highest exponent prime factors to calculate the LCM of 7218 and 7225.

LCM(7218,7225) = 21×32×52×172×4011
LCM(7218,7225) = 52150050

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1, 5, 17, 25, 85, 289, 425, 1445, 7225

Least Common Multiple of 7218 and 7225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7218 and 7225, than apply into the LCM equation.

GCF(7218,7225) = 1
LCM(7218,7225) = ( 7218 × 7225) / 1
LCM(7218,7225) = 52150050 / 1
LCM(7218,7225) = 52150050

Properties of LCM 7218 and 7225

(i) The LCM of 7225 and 7218 is associative

LCM of 7218 and 7225 = LCM of 7225 and 7218

Related Least Common Multiples of 7218

Related Least Common Multiples of 7225

Frequently Asked Questions on LCM of 7218 and 7225

1. What is the LCM of 7218 and 7225?

Answer: LCM of 7218 and 7225 is 52150050.

2. What are the Factors of 7218?

Answer: Factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218. There are 12 integers that are factors of 7218. The greatest factor of 7218 is 7218.

3. What are the Factors of 7225?

Answer: Factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. There are 9 integers that are factors of 7225. The greatest factor of 7225 is 7225.

4. How to Find the LCM of 7218 and 7225?

Answer:

Least Common Multiple of 7218 and 7225 = 52150050

Step 1: Find the prime factorization of 7218

7218 = 2 x 3 x 3 x 401

Step 2: Find the prime factorization of 7225

7225 = 5 x 5 x 17 x 17

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

LCM = 52150050 = 2 x 3 x 3 x 5 x 5 x 17 x 17 x 401

Step 4: Therefore, the least common multiple of 7218 and 7225 is 52150050.