Least Common Multiple of 4290 and 4293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4290 and 4293 the smallest integer that is 6138990 that is divisible by both numbers.

Least Common Multiple (LCM) of 4290 and 4293 is 6138990.

LCM(4290,4293) = 6138990

LCM of 4290 and 4293

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

LCM of:
and

Least Common Multiple of 4290 and 4293

LCM of 4290 and 4293 is 6138990

Least common multiple can be found by multiplying the highest exponent prime factors of 4290 and 4293. First we will calculate the prime factors of 4290 and 4293.

Prime Factorization of 4290


2 4290
3 2145
5 715
11 143
13 13
1

Prime factors of 4290 are 2, 3, 5, 11,13. Prime factorization of 4290 in exponential form is:

4290 = 21×31×51×111×131

Prime Factorization of 4293


3 4293
3 1431
3 477
3 159
53 53
1

Prime factors of 4293 are 3,53. Prime factorization of 4293 in exponential form is:

4293 = 34×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4290 and 4293.

LCM(4290,4293) = 21×34×51×111×131×531
LCM(4290,4293) = 6138990

Factors of 4290

List of positive integer factors of 4290 that divides 4290 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290

Factors of 4293

List of positive integer factors of 4293 that divides 4293 without a remainder.

1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293

Least Common Multiple of 4290 and 4293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4290 and 4293, than apply into the LCM equation.

GCF(4290,4293) = 3
LCM(4290,4293) = ( 4290 × 4293) / 3
LCM(4290,4293) = 18416970 / 3
LCM(4290,4293) = 6138990

Properties of LCM 4290 and 4293

(i) The LCM of 4293 and 4290 is associative

LCM of 4290 and 4293 = LCM of 4293 and 4290

Related Least Common Multiples of 4290

Related Least Common Multiples of 4293

Frequently Asked Questions on LCM of 4290 and 4293

1. What is the LCM of 4290 and 4293?

Answer: LCM of 4290 and 4293 is 6138990.

2. What are the Factors of 4290?

Answer: Factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290. There are 32 integers that are factors of 4290. The greatest factor of 4290 is 4290.

3. What are the Factors of 4293?

Answer: Factors of 4293 are 1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293. There are 10 integers that are factors of 4293. The greatest factor of 4293 is 4293.

4. How to Find the LCM of 4290 and 4293?

Answer:

Least Common Multiple of 4290 and 4293 = 6138990

Step 1: Find the prime factorization of 4290

4290 = 2 x 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 4293

4293 = 3 x 3 x 3 x 3 x 53

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

LCM = 6138990 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 4290 and 4293 is 6138990.