Least Common Multiple of 7290 and 7294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7290 and 7294 the smallest integer that is 26586630 that is divisible by both numbers.

Least Common Multiple (LCM) of 7290 and 7294 is 26586630.

LCM(7290,7294) = 26586630

LCM of 7290 and 7294

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

LCM of:
and

Least Common Multiple of 7290 and 7294

LCM of 7290 and 7294 is 26586630

Least common multiple can be found by multiplying the highest exponent prime factors of 7290 and 7294. First we will calculate the prime factors of 7290 and 7294.

Prime Factorization of 7290


2 7290
3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 7290 are 2, 3,5. Prime factorization of 7290 in exponential form is:

7290 = 21×36×51

Prime Factorization of 7294


2 7294
7 3647
521 521
1

Prime factors of 7294 are 2, 7,521. Prime factorization of 7294 in exponential form is:

7294 = 21×71×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 7290 and 7294.

LCM(7290,7294) = 21×36×51×71×5211
LCM(7290,7294) = 26586630

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1, 2, 7, 14, 521, 1042, 3647, 7294

Least Common Multiple of 7290 and 7294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7290 and 7294, than apply into the LCM equation.

GCF(7290,7294) = 2
LCM(7290,7294) = ( 7290 × 7294) / 2
LCM(7290,7294) = 53173260 / 2
LCM(7290,7294) = 26586630

Properties of LCM 7290 and 7294

(i) The LCM of 7294 and 7290 is associative

LCM of 7290 and 7294 = LCM of 7294 and 7290

Related Least Common Multiples of 7290

Related Least Common Multiples of 7294

Frequently Asked Questions on LCM of 7290 and 7294

1. What is the LCM of 7290 and 7294?

Answer: LCM of 7290 and 7294 is 26586630.

2. What are the Factors of 7290?

Answer: Factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290. There are 28 integers that are factors of 7290. The greatest factor of 7290 is 7290.

3. What are the Factors of 7294?

Answer: Factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294. There are 8 integers that are factors of 7294. The greatest factor of 7294 is 7294.

4. How to Find the LCM of 7290 and 7294?

Answer:

Least Common Multiple of 7290 and 7294 = 26586630

Step 1: Find the prime factorization of 7290

7290 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 7294

7294 = 2 x 7 x 521

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

LCM = 26586630 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 521

Step 4: Therefore, the least common multiple of 7290 and 7294 is 26586630.