Least Common Multiple of 7270 and 7275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7270 and 7275 the smallest integer that is 10577850 that is divisible by both numbers.

Least Common Multiple (LCM) of 7270 and 7275 is 10577850.

LCM(7270,7275) = 10577850

LCM of 7270 and 7275

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

LCM of:
and

Least Common Multiple of 7270 and 7275

LCM of 7270 and 7275 is 10577850

Least common multiple can be found by multiplying the highest exponent prime factors of 7270 and 7275. First we will calculate the prime factors of 7270 and 7275.

Prime Factorization of 7270


2 7270
5 3635
727 727
1

Prime factors of 7270 are 2, 5,727. Prime factorization of 7270 in exponential form is:

7270 = 21×51×7271

Prime Factorization of 7275


3 7275
5 2425
5 485
97 97
1

Prime factors of 7275 are 3, 5,97. Prime factorization of 7275 in exponential form is:

7275 = 31×52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7270 and 7275.

LCM(7270,7275) = 21×31×52×971×7271
LCM(7270,7275) = 10577850

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1, 2, 5, 10, 727, 1454, 3635, 7270

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

Least Common Multiple of 7270 and 7275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7270 and 7275, than apply into the LCM equation.

GCF(7270,7275) = 5
LCM(7270,7275) = ( 7270 × 7275) / 5
LCM(7270,7275) = 52889250 / 5
LCM(7270,7275) = 10577850

Properties of LCM 7270 and 7275

(i) The LCM of 7275 and 7270 is associative

LCM of 7270 and 7275 = LCM of 7275 and 7270

Related Least Common Multiples of 7270

Related Least Common Multiples of 7275

Frequently Asked Questions on LCM of 7270 and 7275

1. What is the LCM of 7270 and 7275?

Answer: LCM of 7270 and 7275 is 10577850.

2. What are the Factors of 7270?

Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.

3. What are the Factors of 7275?

Answer: Factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275. There are 12 integers that are factors of 7275. The greatest factor of 7275 is 7275.

4. How to Find the LCM of 7270 and 7275?

Answer:

Least Common Multiple of 7270 and 7275 = 10577850

Step 1: Find the prime factorization of 7270

7270 = 2 x 5 x 727

Step 2: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

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

LCM = 10577850 = 2 x 3 x 5 x 5 x 97 x 727

Step 4: Therefore, the least common multiple of 7270 and 7275 is 10577850.