Least Common Multiple of 7283 and 7290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7283 and 7290 the smallest integer that is 53093070 that is divisible by both numbers.

Least Common Multiple (LCM) of 7283 and 7290 is 53093070.

LCM(7283,7290) = 53093070

LCM of 7283 and 7290

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

LCM of:
and

Least Common Multiple of 7283 and 7290

LCM of 7283 and 7290 is 53093070

Least common multiple can be found by multiplying the highest exponent prime factors of 7283 and 7290. First we will calculate the prime factors of 7283 and 7290.

Prime Factorization of 7283


7283 7283
1

Prime factors of 7283 are 7283. Prime factorization of 7283 in exponential form is:

7283 = 72831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7283 and 7290.

LCM(7283,7290) = 21×36×51×72831
LCM(7283,7290) = 53093070

Factors of 7283

List of positive integer factors of 7283 that divides 7283 without a remainder.

1, 7283

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

Least Common Multiple of 7283 and 7290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7283 and 7290, than apply into the LCM equation.

GCF(7283,7290) = 1
LCM(7283,7290) = ( 7283 × 7290) / 1
LCM(7283,7290) = 53093070 / 1
LCM(7283,7290) = 53093070

Properties of LCM 7283 and 7290

(i) The LCM of 7290 and 7283 is associative

LCM of 7283 and 7290 = LCM of 7290 and 7283

Related Least Common Multiples of 7283

Related Least Common Multiples of 7290

Frequently Asked Questions on LCM of 7283 and 7290

1. What is the LCM of 7283 and 7290?

Answer: LCM of 7283 and 7290 is 53093070.

2. What are the Factors of 7283?

Answer: Factors of 7283 are 1, 7283. There are 2 integers that are factors of 7283. The greatest factor of 7283 is 7283.

3. 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.

4. How to Find the LCM of 7283 and 7290?

Answer:

Least Common Multiple of 7283 and 7290 = 53093070

Step 1: Find the prime factorization of 7283

7283 = 7283

Step 2: Find the prime factorization of 7290

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

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

LCM = 53093070 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7283

Step 4: Therefore, the least common multiple of 7283 and 7290 is 53093070.