Least Common Multiple of 282 and 290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 282 and 290 the smallest integer that is 40890 that is divisible by both numbers.

Least Common Multiple (LCM) of 282 and 290 is 40890.

LCM(282,290) = 40890

LCM of 282 and 290

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

LCM of:
and

Least Common Multiple of 282 and 290

LCM of 282 and 290 is 40890

Least common multiple can be found by multiplying the highest exponent prime factors of 282 and 290. First we will calculate the prime factors of 282 and 290.

Prime Factorization of 282


2 282
3 141
47 47
1

Prime factors of 282 are 2, 3,47. Prime factorization of 282 in exponential form is:

282 = 21×31×471

Prime Factorization of 290


2 290
5 145
29 29
1

Prime factors of 290 are 2, 5,29. Prime factorization of 290 in exponential form is:

290 = 21×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 282 and 290.

LCM(282,290) = 21×31×51×291×471
LCM(282,290) = 40890

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Least Common Multiple of 282 and 290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 282 and 290, than apply into the LCM equation.

GCF(282,290) = 2
LCM(282,290) = ( 282 × 290) / 2
LCM(282,290) = 81780 / 2
LCM(282,290) = 40890

Properties of LCM 282 and 290

(i) The LCM of 290 and 282 is associative

LCM of 282 and 290 = LCM of 290 and 282

Related Least Common Multiples of 282

Related Least Common Multiples of 290

Frequently Asked Questions on LCM of 282 and 290

1. What is the LCM of 282 and 290?

Answer: LCM of 282 and 290 is 40890.

2. What are the Factors of 282?

Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.

3. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

4. How to Find the LCM of 282 and 290?

Answer:

Least Common Multiple of 282 and 290 = 40890

Step 1: Find the prime factorization of 282

282 = 2 x 3 x 47

Step 2: Find the prime factorization of 290

290 = 2 x 5 x 29

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

LCM = 40890 = 2 x 3 x 5 x 29 x 47

Step 4: Therefore, the least common multiple of 282 and 290 is 40890.