Least Common Multiple of 290 and 296

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 296 the smallest integer that is 42920 that is divisible by both numbers.

Least Common Multiple (LCM) of 290 and 296 is 42920.

LCM(290,296) = 42920

LCM of 290 and 296

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

LCM of:
and

Least Common Multiple of 290 and 296

LCM of 290 and 296 is 42920

Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 296. First we will calculate the prime factors of 290 and 296.

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 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 296.

LCM(290,296) = 23×51×291×371
LCM(290,296) = 42920

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 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Least Common Multiple of 290 and 296 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 296, than apply into the LCM equation.

GCF(290,296) = 2
LCM(290,296) = ( 290 × 296) / 2
LCM(290,296) = 85840 / 2
LCM(290,296) = 42920

Properties of LCM 290 and 296

(i) The LCM of 296 and 290 is associative

LCM of 290 and 296 = LCM of 296 and 290

Related Least Common Multiples of 290

Related Least Common Multiples of 296

Frequently Asked Questions on LCM of 290 and 296

1. What is the LCM of 290 and 296?

Answer: LCM of 290 and 296 is 42920.

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 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

4. How to Find the LCM of 290 and 296?

Answer:

Least Common Multiple of 290 and 296 = 42920

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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

LCM = 42920 = 2 x 2 x 2 x 5 x 29 x 37

Step 4: Therefore, the least common multiple of 290 and 296 is 42920.