Least Common Multiple of 7270 and 7278

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 7278 the smallest integer that is 26455530 that is divisible by both numbers.

Least Common Multiple (LCM) of 7270 and 7278 is 26455530.

LCM(7270,7278) = 26455530

LCM of 7270 and 7278

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

LCM of:
and

Least Common Multiple of 7270 and 7278

LCM of 7270 and 7278 is 26455530

Least common multiple can be found by multiplying the highest exponent prime factors of 7270 and 7278. First we will calculate the prime factors of 7270 and 7278.

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 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2, 3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 7270 and 7278.

LCM(7270,7278) = 21×31×51×7271×12131
LCM(7270,7278) = 26455530

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 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639, 7278

Least Common Multiple of 7270 and 7278 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 7278, than apply into the LCM equation.

GCF(7270,7278) = 2
LCM(7270,7278) = ( 7270 × 7278) / 2
LCM(7270,7278) = 52911060 / 2
LCM(7270,7278) = 26455530

Properties of LCM 7270 and 7278

(i) The LCM of 7278 and 7270 is associative

LCM of 7270 and 7278 = LCM of 7278 and 7270

Related Least Common Multiples of 7270

Related Least Common Multiples of 7278

Frequently Asked Questions on LCM of 7270 and 7278

1. What is the LCM of 7270 and 7278?

Answer: LCM of 7270 and 7278 is 26455530.

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 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

4. How to Find the LCM of 7270 and 7278?

Answer:

Least Common Multiple of 7270 and 7278 = 26455530

Step 1: Find the prime factorization of 7270

7270 = 2 x 5 x 727

Step 2: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

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

LCM = 26455530 = 2 x 3 x 5 x 727 x 1213

Step 4: Therefore, the least common multiple of 7270 and 7278 is 26455530.