Least Common Multiple of 7262 and 7270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7262 and 7270 the smallest integer that is 26397370 that is divisible by both numbers.

Least Common Multiple (LCM) of 7262 and 7270 is 26397370.

LCM(7262,7270) = 26397370

LCM of 7262 and 7270

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

LCM of:
and

Least Common Multiple of 7262 and 7270

LCM of 7262 and 7270 is 26397370

Least common multiple can be found by multiplying the highest exponent prime factors of 7262 and 7270. First we will calculate the prime factors of 7262 and 7270.

Prime Factorization of 7262


2 7262
3631 3631
1

Prime factors of 7262 are 2,3631. Prime factorization of 7262 in exponential form is:

7262 = 21×36311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7262 and 7270.

LCM(7262,7270) = 21×51×7271×36311
LCM(7262,7270) = 26397370

Factors of 7262

List of positive integer factors of 7262 that divides 7262 without a remainder.

1, 2, 3631, 7262

Factors of 7270

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

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

Least Common Multiple of 7262 and 7270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7262 and 7270, than apply into the LCM equation.

GCF(7262,7270) = 2
LCM(7262,7270) = ( 7262 × 7270) / 2
LCM(7262,7270) = 52794740 / 2
LCM(7262,7270) = 26397370

Properties of LCM 7262 and 7270

(i) The LCM of 7270 and 7262 is associative

LCM of 7262 and 7270 = LCM of 7270 and 7262

Related Least Common Multiples of 7262

Related Least Common Multiples of 7270

Frequently Asked Questions on LCM of 7262 and 7270

1. What is the LCM of 7262 and 7270?

Answer: LCM of 7262 and 7270 is 26397370.

2. What are the Factors of 7262?

Answer: Factors of 7262 are 1, 2, 3631, 7262. There are 4 integers that are factors of 7262. The greatest factor of 7262 is 7262.

3. 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.

4. How to Find the LCM of 7262 and 7270?

Answer:

Least Common Multiple of 7262 and 7270 = 26397370

Step 1: Find the prime factorization of 7262

7262 = 2 x 3631

Step 2: Find the prime factorization of 7270

7270 = 2 x 5 x 727

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

LCM = 26397370 = 2 x 5 x 727 x 3631

Step 4: Therefore, the least common multiple of 7262 and 7270 is 26397370.