Least Common Multiple of 290 and 295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 290 and 295 the smallest integer that is 17110 that is divisible by both numbers.

Least Common Multiple (LCM) of 290 and 295 is 17110.

LCM(290,295) = 17110

LCM of 290 and 295

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

LCM of:
and

Least Common Multiple of 290 and 295

LCM of 290 and 295 is 17110

Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 295. First we will calculate the prime factors of 290 and 295.

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

Prime Factorization of 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 295.

LCM(290,295) = 21×51×291×591
LCM(290,295) = 17110

Factors of 290

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

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

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 290 and 295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 295, than apply into the LCM equation.

GCF(290,295) = 5
LCM(290,295) = ( 290 × 295) / 5
LCM(290,295) = 85550 / 5
LCM(290,295) = 17110

Properties of LCM 290 and 295

(i) The LCM of 295 and 290 is associative

LCM of 290 and 295 = LCM of 295 and 290

Related Least Common Multiples of 290

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 290 and 295

1. What is the LCM of 290 and 295?

Answer: LCM of 290 and 295 is 17110.

2. 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.

3. What are the Factors of 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 290 and 295?

Answer:

Least Common Multiple of 290 and 295 = 17110

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 295

295 = 5 x 59

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

LCM = 17110 = 2 x 5 x 29 x 59

Step 4: Therefore, the least common multiple of 290 and 295 is 17110.