Least Common Multiple of 7219 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 7219 and 7225 the smallest integer that is 52157275 that is divisible by both numbers.

Least Common Multiple (LCM) of 7219 and 7225 is 52157275.

LCM(7219,7225) = 52157275

LCM of 7219 and 7225

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

LCM of:
and

Least Common Multiple of 7219 and 7225

LCM of 7219 and 7225 is 52157275

Least common multiple can be found by multiplying the highest exponent prime factors of 7219 and 7225. First we will calculate the prime factors of 7219 and 7225.

Prime Factorization of 7219


7219 7219
1

Prime factors of 7219 are 7219. Prime factorization of 7219 in exponential form is:

7219 = 72191

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 7219 and 7225.

LCM(7219,7225) = 52×172×72191
LCM(7219,7225) = 52157275

Factors of 7219

List of positive integer factors of 7219 that divides 7219 without a remainder.

1, 7219

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 7219 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 7219 and 7225, than apply into the LCM equation.

GCF(7219,7225) = 1
LCM(7219,7225) = ( 7219 × 7225) / 1
LCM(7219,7225) = 52157275 / 1
LCM(7219,7225) = 52157275

Properties of LCM 7219 and 7225

(i) The LCM of 7225 and 7219 is associative

LCM of 7219 and 7225 = LCM of 7225 and 7219

Related Least Common Multiples of 7219

Related Least Common Multiples of 7225

Frequently Asked Questions on LCM of 7219 and 7225

1. What is the LCM of 7219 and 7225?

Answer: LCM of 7219 and 7225 is 52157275.

2. What are the Factors of 7219?

Answer: Factors of 7219 are 1, 7219. There are 2 integers that are factors of 7219. The greatest factor of 7219 is 7219.

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 7219 and 7225?

Answer:

Least Common Multiple of 7219 and 7225 = 52157275

Step 1: Find the prime factorization of 7219

7219 = 7219

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 = 52157275 = 5 x 5 x 17 x 17 x 7219

Step 4: Therefore, the least common multiple of 7219 and 7225 is 52157275.